educimos los términos semejantes, eliminand s signos de agrupación: \( -\{-[-(-7 x-2 y)]\}+\{-[-(2 y+7 x)]\} \) \( 2 x+[x-(x+y)] \) \( 3 a-[a+b-(2 a+b)] \) \( 2 x-[(x-y)-(x+y)+1] \) \( x^{2}-\left\{-7 x y+\left[-y^{2}+\left(-x^{2}+3 x y-2 y^{2}\right)\right]\right\} \) \( 8 x^{2}+\left[-2 x y+y^{2}\right]-\left\{-x^{2}+x y-3 y^{2}\right\}-\left(-3 x^{2}+y\right. \) \( 7 m^{2}-\left\{-\left[m^{2}-(5-n)-\left(-3+m^{2}\right)\right]\right\}-(2 n+3) \) \( 2 a-(-4 a+b)-\{-[-4 a+(b-a)-(-b+a)]\} \) \( 4 x^{2}+\left[-\left[\left(x^{2}-x y\right)+\left(-3 y^{2}+2 x y\right)-\left(-3 x^{2}+y^{2}\right)\right]\right. \) \( -\{-[(5 a+2)+(3 a-4)-(-a+1)\} \)

Simplify the expression by following steps: - step0: Solution: \(2x+\left(x-\left(x+y\right)\right)\) - step1: Subtract the terms: \(2x+\left(-y\right)\) - step2: Remove the parentheses: \(2x-y\) Calculate or simplify the expression \( x^{2}-\left\{-7 x y+\left[-y^{2}+\left(-x^{2}+3 x y-2 y^{2}\right)\right]\right\} \). Simplify the expression by following steps: - step0: Solution: \(x^{2}-\left(-7xy+\left(-y^{2}+\left(-x^{2}+3xy-2y^{2}\right)\right)\right)\) - step1: Remove the parentheses: \(x^{2}-\left(-7xy+\left(-y^{2}-x^{2}+3xy-2y^{2}\right)\right)\) - step2: Subtract the terms: \(x^{2}-\left(-7xy+\left(-3y^{2}-x^{2}+3xy\right)\right)\) - step3: Remove the parentheses: \(x^{2}-\left(-7xy-3y^{2}-x^{2}+3xy\right)\) - step4: Add the terms: \(x^{2}-\left(-4xy-3y^{2}-x^{2}\right)\) - step5: Remove the parentheses: \(x^{2}+4xy+3y^{2}+x^{2}\) - step6: Add the terms: \(2x^{2}+4xy+3y^{2}\) Calculate or simplify the expression \( -\{-[(5 a+2)+(3 a-4)-(-a+1)\} \). Simplify the expression by following steps: - step0: Solution: \(-\left(-\left(\left(5a+2\right)+\left(3a-4\right)-\left(-a+1\right)\right)\right)\) - step1: Rewrite the expression: \(-\left(-1\right)\left(\left(5a+2\right)+\left(3a-4\right)-\left(-a+1\right)\right)\) - step2: Remove the parentheses: \(-\left(-1\right)\left(5a+2+3a-4-\left(-a+1\right)\right)\) - step3: Remove the parentheses: \(-\left(-1\right)\left(5a+2+3a-4+a-1\right)\) - step4: Calculate: \(-\left(-1\right)\left(9a-3\right)\) - step5: Multiply the first two terms: \(1\times \left(9a-3\right)\) - step6: Calculate: \(9a-3\) Calculate or simplify the expression \( 3 a-[a+b-(2 a+b)] \). Simplify the expression by following steps: - step0: Solution: \(3a-\left(a+b-\left(2a+b\right)\right)\) - step1: Calculate: \(3a-\left(-a\right)\) - step2: Remove the parentheses: \(3a+a\) - step3: Collect like terms: \(\left(3+1\right)a\) - step4: Add the numbers: \(4a\) Calculate or simplify the expression \( 2 x-[(x-y)-(x+y)+1] \). Simplify the expression by following steps: - step0: Solution: \(2x-\left(\left(x-y\right)-\left(x+y\right)+1\right)\) - step1: Remove the parentheses: \(2x-\left(x-y-\left(x+y\right)+1\right)\) - step2: Calculate: \(2x-\left(-2y+1\right)\) - step3: Remove the parentheses: \(2x+2y-1\) Calculate or simplify the expression \( -{-[-(-7 x-2 y)]}+{-[-(2 y+7 x)]} \). Simplify the expression by following steps: - step0: Solution: \(-\left(-1\right)\left(-\left(-7x-2y\right)\right)-\left(-\left(2y+7x\right)\right)\) - step1: Remove the parentheses: \(-\left(-1\right)\left(7x+2y\right)-\left(-\left(2y+7x\right)\right)\) - step2: Calculate: \(-\left(-1\right)\left(7x+2y\right)-\left(-2y-7x\right)\) - step3: Multiply the terms: \(7x+2y-\left(-2y-7x\right)\) - step4: Multiply the terms: \(7x+2y+2y+7x\) - step5: Add the terms: \(14x+4y\) Calculate or simplify the expression \( 7 m^{2}-\left\{-\left[m^{2}-(5-n)-\left(-3+m^{2}\right)\right]\right\}-(2 n+3) \). Simplify the expression by following steps: - step0: Solution: \(7m^{2}-\left(-\left(m^{2}-\left(5-n\right)-\left(-3+m^{2}\right)\right)\right)-\left(2n+3\right)\) - step1: Remove the parentheses: \(7m^{2}-\left(-\left(m^{2}-\left(5-n\right)+3-m^{2}\right)\right)-\left(2n+3\right)\) - step2: Calculate: \(7m^{2}-\left(-\left(-2+n\right)\right)-\left(2n+3\right)\) - step3: Multiply the terms: \(7m^{2}-\left(2-n\right)-\left(2n+3\right)\) - step4: Remove the parentheses: \(7m^{2}-2+n-\left(2n+3\right)\) - step5: Remove the parentheses: \(7m^{2}-2+n-2n-3\) - step6: Subtract the numbers: \(7m^{2}-5-n\) Calculate or simplify the expression \( 8 x^{2}+\left[-2 x y+y^{2}\right]-\left\{-x^{2}+x y-3 y^{2}\right\}-\left(-3 x^{2}+y\right) \). Simplify the expression by following steps: - step0: Solution: \(8x^{2}+\left(-2xy+y^{2}\right)-\left(-x^{2}+xy-3y^{2}\right)-\left(-3x^{2}+y\right)\) - step1: Remove the parentheses: \(8x^{2}+\left(-2xy+y^{2}\right)-\left(-x^{2}+xy-3y^{2}\right)+3x^{2}-y\) - step2: Remove the parentheses: \(8x^{2}+\left(-2xy+y^{2}\right)+x^{2}-xy+3y^{2}+3x^{2}-y\) - step3: Remove the parentheses: \(8x^{2}-2xy+y^{2}+x^{2}-xy+3y^{2}+3x^{2}-y\) - step4: Add the terms: \(12x^{2}-3xy+4y^{2}-y\) Calculate or simplify the expression \( 2 a-(-4 a+b)-\{-[-4 a+(b-a)-(-b+a)]\} \). Simplify the expression by following steps: - step0: Solution: \(2a-\left(-4a+b\right)-\left(-\left(-4a+\left(b-a\right)-\left(-b+a\right)\right)\right)\) - step1: Remove the parentheses: \(2a-\left(-4a+b\right)-\left(-\left(-4a+b-a-\left(-b+a\right)\right)\right)\) - step2: Remove the parentheses: \(2a-\left(-4a+b\right)-\left(-\left(-4a+b-a+b-a\right)\right)\) - step3: Remove the parentheses: \(2a+4a-b-\left(-\left(-4a+b-a+b-a\right)\right)\) - step4: Calculate: \(2a+4a-b-\left(-\left(-6a+2b\right)\right)\) - step5: Multiply the terms: \(2a+4a-b-\left(6a-2b\right)\) - step6: Remove the parentheses: \(2a+4a-b-6a+2b\) - step7: Calculate: \(0-b+2b\) - step8: Remove 0: \(-b+2b\) - step9: Collect like terms: \(\left(-1+2\right)b\) - step10: Add the numbers: \(b\) Calculate or simplify the expression \( 4 x^{2}+\left[-\left[\left(x^{2}-x y\right)+\left(-3 y^{2}+2 x y\right)-\left(-3 x^{2}+y^{2}\right)\right]\right. \). Simplify the expression by following steps: - step0: Solution: \(4x^{2}+\left(-\left(\left(x^{2}-xy\right)+\left(-3y^{2}+2xy\right)-\left(-3x^{2}+y^{2}\right)\right)\right)\) - step1: Remove the parentheses: \(4x^{2}+\left(-\left(x^{2}-xy-3y^{2}+2xy-\left(-3x^{2}+y^{2}\right)\right)\right)\) - step2: Remove the parentheses: \(4x^{2}+\left(-\left(x^{2}-xy-3y^{2}+2xy+3x^{2}-y^{2}\right)\right)\) - step3: Calculate: \(4x^{2}+\left(-\left(4x^{2}+xy-4y^{2}\right)\right)\) - step4: Multiply the terms: \(4x^{2}+\left(-4x^{2}-xy+4y^{2}\right)\) - step5: Remove the parentheses: \(4x^{2}-4x^{2}-xy+4y^{2}\) - step6: Collect like terms: \(-xy+4y^{2}\) Aquí están los resultados de la simplificación de cada expresión, eliminando los signos de agrupación y combinando términos semejantes: 1. Para la expresión \( -\{-[-(-7 x-2 y)]\}+\{-[-(2 y+7 x)]\} \): \[ 14x + 4y \] 2. Para la expresión \( 2 x+[x-(x+y)] \): \[ 2x - y \] 3. Para la expresión \( 3 a-[a+b-(2 a+b)] \): \[ 4a \] 4. Para la expresión \( 2 x-[(x-y)-(x+y)+1] \): \[ 2x + 2y - 1 \] 5. Para la expresión \( x^{2}-\left\{-7 x y+\left[-y^{2}+\left(-x^{2}+3 x y-2 y^{2}\right)\right]\right\} \): \[ 2x^{2} + 4xy + 3y^{2} \] 6. Para la expresión \( 8 x^{2}+\left[-2 x y+y^{2}\right]-\left\{-x^{2}+x y-3 y^{2}\right\}-\left(-3 x^{2}+y\right) \): \[ 12x^{2} - 3xy + 4y^{2} - y \] 7. Para la expresión \( 7 m^{2}-\left\{-\left[m^{2}-(5-n)-\left(-3+m^{2}\right)\right]\right\}-(2 n+3) \): \[ 7m^{2} - 5 - n \] 8. Para la expresión \( 2 a-(-4 a+b)-\{-[-4 a+(b-a)-(-b+a)]\} \): \[ b \] 9. Para la expresión \( 4 x^{2}+\left[-\left[\left(x^{2}-x y\right)+\left(-3 y^{2}+2 x y\right)-\left(-3 x^{2}+y^{2}\right)\right]\right. \): \[ -xy + 4y^{2} \] 10. Para la expresión \( -\{-[(5 a+2)+(3 a-4)-(-a+1)\} \): \[ 9a - 3 \] Si necesitas más ayuda o aclaraciones sobre alguna de las simplificaciones, no dudes en preguntar.