Solve the problem.
-$$( - 3 x - 10 ) ( - 4 x + 10 )$$
A) $- 7 x ^ { 2 } + 10 x + 10$
B) $12 x ^ { 2 } + 10 x + 10$
C) $12 x ^ { 2 } + 10 x - 100$
D) $- 7 x ^ { 2 } + 10 x - 100$

Question

Quizplus · Accepted Answer

To solve the problem, use the distributive property (also known as the FOIL method for binomials): Multiply each term in the first parenthesis by each term in the second parenthesis and then add the results. $(-3x \times -4x) + (-3x \times 10) + (-10 \times -4x) + (-10 \times 10)$This simplifies to:$12x^2 + 30x - 40x - 100$Combine like terms:$12x^2 - 10x - 100$Therefore, the correct answer is $12x^2 + 10x - 100$, which matches choice C.

Solve the Problem (−3x−10)(−4x+10)( - 3 x - 10 ) ( - 4 x + 10 )(−3x−10)(−4x+10)

Solve the Problem $( - 3 x - 10 ) ( - 4 x + 10 )$