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a) \( 3(8+2)-5(4-1) \)

Ask by Ford Dickson. in Colombia
Feb 26,2025

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Tutor-Verified Answer

Answer

El resultado es 15.

Solution

Para resolver la expresión 3(8+2) - 5(4-1): 1. Primero, resuelve las operaciones dentro de los paréntesis: - (8+2) = 10 - (4-1) = 3 2. Sustituye estos valores en la expresión: 3 × 10 - 5 × 3 3. Realiza las multiplicaciones: 30 - 15 4. Finalmente, resta: 15 El resultado final es 15.

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Bonus Knowledge

Let’s dive into solving this expression step-by-step! First, we simplify the operations inside the parentheses: \( 8 + 2 = 10 \) and \( 4 - 1 = 3 \). Now plugging these back into the expression, we have \( 3(10) - 5(3) \). Next, we multiply: \( 3 \times 10 = 30 \) and \( 5 \times 3 = 15 \). Finally, we can subtract: \( 30 - 15 = 15 \). So, the value of the expression is \( 15 \)! 🎉 Understanding the order of operations is crucial—remember PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Missteps often happen when people rush through, so take your time to follow each step carefully!

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ISCELÁNEA cribir, por simple inspección, el resultado de: \( \begin{array}{lll}(x+2)^{2} & \text { 14. }(x+y+1)(x-y-1) & \text { 27. }\left(2 a^{3}-5 b^{4}\right)^{2} \\ (x+2)(x+3) & \text { 15. }(1-a)(a+1) & \text { 28. }\left(a^{3}+12\right)\left(a^{3}-15\right) \\ (x+1)(x-1) & \text { 16. }(m-8)(m+12) & \text { 29. }\left(m^{2}-m+n\right)\left(n+m+m^{2}\right) \\ (x-1)^{2} & \text { 17. }\left(x^{2}-1\right)\left(x^{2}+3\right) & \text { 30. }\left(x^{4}+7\right)\left(x^{4}-11\right) \\ (n+3)(n+5) & \text { 18. }\left(x^{3}+6\right)\left(x^{3}-8\right) & \text { 31. }(11-a b)^{2} \\ (m-3)(m+3) & \text { 19. }\left(5 x^{3}+6 m^{4}\right)^{2} & \text { 32. }\left(x^{2} y^{3}-8\right)\left(x^{2} y^{3}+6\right) \\ (a+b-1)(a+b+1) & \text { 20. }\left(x^{4}-2\right)\left(x^{4}+5\right) & \text { 33. }(a+b)(a-b)\left(a^{2}-b^{2}\right) \\ (1+b)^{3} & \text { 21. }(1-a+b)(b-a-1) & \text { 34. }(x+1)(x-1)\left(x^{2}-2\right) \\ \left(a^{2}+4\right)\left(a^{2}-4\right) & \text { 22. }\left(a^{x}+b^{n}\right)\left(a^{x}-b^{n}\right) & \text { 35. }(a+3)\left(a^{2}+9\right)(a-3) \\ \left(3 a b-5 x^{2}\right)^{2} & \text { 23. }\left(x^{a+1}-8\right)\left(x^{a+1}+9\right) & \text { 36. }(x+5)(x-5)\left(x^{2}+1\right) \\ (a b+3)(3-a b) & \text { 24. }\left(a^{2} b^{2}+c^{2}\right)\left(a^{2} b^{2}-c^{2}\right) & \text { 37. }(a+1)(a-1)(a+2)(a-2) \\ (1-4 a x)^{2} & \text { 25. }(2 a+x)^{3} & \text { 36. }\left(x^{2}-11\right)\left(x^{2}-2\right)\end{array} \) \( \left(a^{2}+8\right)\left(a^{2}-7\right) \)
Algebra Mexico Feb 26, 2025
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