Solve (2x+3)(-5-x): Binomial Expression Multiplication

Question

Solve the following equation:

(2x+3)(5x)= (2x+3)(-5-x)=

Video Solution

Step-by-Step Solution

We will use the extended distribution law as seen below in order to simplify the given expression:

(a+b)(c+d)=ac+ad+bc+bd (a+b)(c+d)=ac+ad+bc+bd

We will begin by performing the multiplication between the pairs of parentheses, using the mentioned distribution law. Then we will proceed to combine like terms if possible. We'll do this whilst taking into account the correct multiplication of signs:

(2x+3)(5x)=10x2x2153x=2x213x15 (2x+3)(-5-x)= \\ -10x-2x^2-15-3x=\\ \boxed{-2x^2-13x-15} Therefore, the correct answer is answer D.

Answer

2x213x15 -2x^2-13x-15