QuestionAugust 25, 2025

(8) -5-(-2)+6(8 x+2 x) (9) (8 x-7 x)-(-3)+5 x (10) (3 y-4 x)(8 x-5 x) (11) (2 x-1)^2

(8) -5-(-2)+6(8 x+2 x) (9) (8 x-7 x)-(-3)+5 x (10) (3 y-4 x)(8 x-5 x) (11) (2 x-1)^2
(8) -5-(-2)+6(8 x+2 x) 
(9) (8 x-7 x)-(-3)+5 x 
(10) (3 y-4 x)(8 x-5 x) 
(11) (2 x-1)^2

Solution
4.1(318 votes)

Answer

Expression (8): 60x - 3 ### Expression (9): 6x + 3 ### Expression (10): 9yx - 12x^2 ### Expression (11): 4x^2 - 4x + 1 Explanation 1. Simplify expression (8) Combine like terms and simplify: -5 - (-2) + 6(8x + 2x) = -5 + 2 + 6(10x) = -3 + 60x 2. Simplify expression (9) Combine like terms and simplify: (8x - 7x) - (-3) + 5x = x + 3 + 5x = 6x + 3 3. Simplify expression (10) Multiply the expressions: (3y - 4x)(8x - 5x) = (3y - 4x)(3x) = 9yx - 12x^2 4. Expand expression (11) Use the formula for square of a binomial: (2x - 1)^2 = (2x)^2 - 2 \cdot 2x \cdot 1 + 1^2 = 4x^2 - 4x + 1

Explanation

1. Simplify expression (8)<br /> Combine like terms and simplify: $-5 - (-2) + 6(8x + 2x) = -5 + 2 + 6(10x) = -3 + 60x$<br /><br />2. Simplify expression (9)<br /> Combine like terms and simplify: $(8x - 7x) - (-3) + 5x = x + 3 + 5x = 6x + 3$<br /><br />3. Simplify expression (10)<br /> Multiply the expressions: $(3y - 4x)(8x - 5x) = (3y - 4x)(3x) = 9yx - 12x^2$<br /><br />4. Expand expression (11)<br /> Use the formula for square of a binomial: $(2x - 1)^2 = (2x)^2 - 2 \cdot 2x \cdot 1 + 1^2 = 4x^2 - 4x + 1$
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