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♛}}}}}`