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

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^{2} - 8x + 8}}}}}$

Option A is the correct option

Step-by-step 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!!