Question

Simplify the expression 8x² + x - 5 + (2x² - 9x + 13)

A. 10x² - 8x + 8
B. 10x²
C. 10x² + 8x - 8
D. 10x² - 8x - 8

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^(2) - 8x + 8}}}}}`

Option A is the correct option

Explanation:

`\sf{8 {x}^(2) + x - 5 + (2 {x}^(2) - 9x + 13)}`

When there is a ( + ) in front of an expression in parentheses , there is no need to change the sign of each term.

That means, the expression remains the same.

Also, Remove the unnecessary bracket

⇒
`\sf{8 {x}^(2) + x - 5 + 2 {x}^(2) - 9x + 13}`

Collect like terms

⇒
`\sf{8 {x}^(2) + 2 {x}^(2) + x - 9x - 5 + 13}`

⇒
`\sf{10 {x}^(2) - 8x - 5 + 13}`

Calculate

⇒
`\sf{10 {x}^(2) - 8x + 8}`

Hope I helped!

Best regards!!