Question

What is the resulting polynomial when -7w² +13 is subtracted from -2w²+6w - 19?​

Answer 1

Hi :)

Let's solve by combining like terms

——————————

Combining like terms means you add or subtract

• terms with the same variable (if any)
• terms with the same exponent

Solve by combining like terms

`\implies\darkblue\sf{-2w^2+6w-19-(-7w^2+13)}\\\implies\darkblue\sf{-2w^2+6w-19+7w^2-13}\\\implies\darkblue\sf{-2w^2+7w^2+6w-19-13}\\\implies\darkblue\sf{\underline{5w^2+6w-32}}`

`\tt{Learn\:More;Work\:Harder}`

:)

Answer 2

5w^2 + 6w - 32

Explanation:

Subtract as needed and combine like terms

(-2w^2 + 6w - 19) - (-7w^2 +13) dont forget to distribute the negative

so you get this:

-2w^2 + 7w^2 = 5w^2

6w

-19 - 13 = - 32

your answer is 5w^2 + 6w - 32

hope this helps :)