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

Option B is correct.

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

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`