Question

Heyyyy does anyone know the answer please help me!!!!!

Answer 1

B)
`x^2+5x+19`

Explanation:

`(2x^2+7x+10)-(x^2+2x-9)`

`\textsf{Apply rule}\:(a)=a:`

`=2x^2+7x+10-(x^2+2x-9)`

`\textsf{Apply distributive law}\:-(a+b)=-a-b\:\textsf{ and }\:-(a-b)=-a+b:`

`= 2x^2+7x+10-x^2-2x+9`

Group like terms:

`= 2x^2-x^2+7x-2x+10+9`

Combine like terms:

`= x^2+5x+19`

Answer 2

B) x² + 5x + 19

Explanation:

(2x² + 7x + 10) - (x² + 2x - 9)

==> remove parenthesis and apply negative sign

2x² + 7x + 10 - x² - 2x + 9

==> combine like terms

x² + 5x + 19

the answer is B

Important Note:

Like terms are terms with the same variable and exponent. Eg. 5x³ and x³ are like terms because they both have a common variable x, and a power of 3.