Question

Simplify.

−4x2−5(x+3)+x2



A. −9x2−15

B. −3x2−5x−15

C. −23x

D. −4x2−5x−15

Answer 1

Hi Jordan

-4x² - 5(x+3) + x²
-4x² - 5x - 15 + x²
Combine like terms
-4x² + x² - 5x - 15
-3x² - 5x - 15
Answer : B

I hope that's help !

Answer 2

Answer:

Option B is correct.

Simplified form of  $-4x^2-5(x+3)+x^2$ is, $-3x^2 -5x-15$

Step-by-step explanation:

Given that: $-4x^2-5(x+3)+x^2$                 .....[1]

Like terms are those terms which have same variables to the same powers

Combine like terms in [1] we have;

$-3x^2-5(x+3)$                           .....[2]

Using distributive property: $a\cdot (b+c) = a\cdot b+a\cdot c$

Apply distributive property on [2] we have;

$-3x^2 -5x-15$

Therefore, the simplified form of  $-4x^2-5(x+3)+x^2$ is, $-3x^2 -5x-15$