\( \left. \begin{array} { l } { ( 3 x - 2 y + 1 ) ^ { 2 } } \\ { ( a + 6 b - 5 c ) ^ { 2 } } \\ { ( a ^ { 2 } + 5 a + 4 ) ^ { 2 } } \\ { ( a ^ { 2 } + 3 a - 2 ) ^ { 2 } } \end{array} \right. \)

Simplify the expression by following steps: - step0: Evaluate the power: \(\left(3x-2y+1\right)^{2}\) - step1: Expand the expression: \(\left(3x\right)^{2}+\left(-2y\right)^{2}+1^{2}+2\times 3x\left(-2y\right)+2\times 3x\times 1+2\left(-2y\right)\times 1\) - step2: Calculate: \(9x^{2}+4y^{2}+1-12xy+6x-4y\) Expand the expression \( (a ^ { 2 } + 3 a - 2) ^ { 2 } \) Simplify the expression by following steps: - step0: Evaluate the power: \(\left(a^{2}+3a-2\right)^{2}\) - step1: Expand the expression: \(\left(a^{2}\right)^{2}+\left(3a\right)^{2}+\left(-2\right)^{2}+2a^{2}\times 3a+2a^{2}\left(-2\right)+2\times 3a\left(-2\right)\) - step2: Calculate: \(a^{4}+9a^{2}+4+6a^{3}-4a^{2}-12a\) - step3: Subtract the terms: \(a^{4}+5a^{2}+4+6a^{3}-12a\) Expand the expression \( (a + 6 b - 5 c) ^ { 2 } \) Simplify the expression by following steps: - step0: Evaluate the power: \(\left(a+6b-5c\right)^{2}\) - step1: Expand the expression: \(a^{2}+\left(6b\right)^{2}+\left(-5c\right)^{2}+2a\times 6b+2a\left(-5c\right)+2\times 6b\left(-5c\right)\) - step2: Calculate: \(a^{2}+36b^{2}+25c^{2}+12ab-10ac-60bc\) Expand the expression \( (a ^ { 2 } + 5 a + 4) ^ { 2 } \) Simplify the expression by following steps: - step0: Evaluate the power: \(\left(a^{2}+5a+4\right)^{2}\) - step1: Expand the expression: \(\left(a^{2}\right)^{2}+\left(5a\right)^{2}+4^{2}+2a^{2}\times 5a+2a^{2}\times 4+2\times 5a\times 4\) - step2: Calculate: \(a^{4}+25a^{2}+16+10a^{3}+8a^{2}+40a\) - step3: Add the terms: \(a^{4}+33a^{2}+16+10a^{3}+40a\) Aquí están las expresiones expandidas: 1. Para \( (3x - 2y + 1)^{2} \): \[ 9x^{2} + 4y^{2} + 1 - 12xy + 6x - 4y \] 2. Para \( (a + 6b - 5c)^{2} \): \[ a^{2} + 36b^{2} + 25c^{2} + 12ab - 10ac - 60bc \] 3. Para \( (a^{2} + 5a + 4)^{2} \): \[ a^{4} + 33a^{2} + 16 + 10a^{3} + 40a \] 4. Para \( (a^{2} + 3a - 2)^{2} \): \[ a^{4} + 5a^{2} + 4 + 6a^{3} - 12a \] Si necesitas más ayuda o alguna otra operación, no dudes en preguntar.