Question

Which expression is equivalent to (image attached)

Answer 1

Hello!

The answer is:

B. $x(7x^{2}-3x+9)-3(7x^{2}-3x+9)$

Why?

We are given a simplified expression and we are asked to know which of the given options is equivalent to the simplified expression, so, we need to apply the distributive property in order to find the correct choice.

The distributive property states that:

$(a+b)(c+d+e)=a(c+d+e)+b(c+d+e)=ac+ad+ae+bc+bd+be$

So, if we are given the following expression:

$(x-3)(7x^{2}-3x+9)$

Then, we need to apply the distributive property in order to find the equivalent expression:

$(x-3)(7x^{2}-3x+9)=x(7x^{2}-3x+9)-3(7x^{2}-3x+9)$

Hence, the correct option is:

B. $x(7x^{2}-3x+9)-3(7x^{2}-3x+9)$

Have a nice day!

Answer 2

Answer:

B. $x(7x^2-3x+9)-3(7x^2-3x+9)$

Step-by-step explanation:

The given expression is $(x-3)(7x^2-3x+9)$

Recall and use the distributive property;

In this case;

$(a-b)(c+d+e)=a(c+d+e)-b(c+d+e)$

This implies that;

$(x-3)(7x^2-3x+9)=x(7x^2-3x+9)-3(7x^2-3x+9)$

Therefore the correct choice is B.