Remove the parentheses from the following expression, and combine like terms. 3(ax + b^2 - c) + 2...

Question:

Remove the parentheses from the following expression, and combine like terms.

{eq}3\left(ax + b^2 - c\right) + 2 {/eq}

A. {eq}\; -3ax - b^2 + 3c - 6 {/eq}

B. {eq}\; 3ax + 3b^2 - 3c + 2 {/eq}

C. {eq}\; 3ax + 3b^2 - 3c + 6 {/eq}

D. {eq}\; ax + b^2 - c + 5 {/eq}

Expanding Expressions


Expanding expressions means opening the brackets. This is done by multiplying the term(s) outside by each and every term inside individually. An example involving numbers would be:

$$3(2+4+5)=3*2+4*3+5*3 $$

Answer and Explanation:


The expression is evaluated as follows.

$$\begin{align} &3\left(ax + b^2 - c\right) + 2\\ =&3ax+3b^2-3c+2&&&&\left [ \because a(x+y+z)=a*x+a*y+a*z \right ]\\ \end{align} $$


Thus, the correct option is B.


Learn more about this topic:

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Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3
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