Question

Rewrite in simplest terms: (9x+5)-(-2x+10)(9x+5)−(−2x+10)

Answer 1

$\implies {\blue {\boxed {\boxed {\purple {\sf { 18 {x}^{2} - 69x - 55}}}}}}$

$\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}$

$= (9x + 5) - ( - 2 x+ 10)(9x + 5) - ( - 2x + 10)$

$= (9x + 5) + 2x (9x + 5) - 10(9x + 5) - ( - 2x + 10)$

$= 9x + 5 + 18 {x}^{2} + 10 x- 90x - 50 + 2x - 10$

Collect the like terms.

$= 18 {x}^{2} + (9x + 10x- 90x + 2x) + (5 - 50 - 10)$

$= 18 {x}^{2} + (21x - 90x) +(5 - 60)$

$= 18 {x}^{2} - 69x - 55$

$\boxed{ Note:}$

$\sf\pink{PEMDAS\: rule.}$

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

$\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}$