What is 9(x+1)-3(x+1)^2 ?

The solution to 9(x+1)-3(x+1)^2 is -3x^2+3x+6

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simplify 9(x+1)-3(x+1)^2

simplify

9 (x + 1) - 3 (x + 1)^{2}

- 3 x^{2} + 3 x + 6

Solution steps

9 (x + 1) - 3 (x + 1)^{2}

Expand

9 (x + 1) : 9 x + 9

= 9 x + 9 - 3 (x + 1)^{2}

Expand

- 3 (x + 1)^{2} : - 3 x^{2} - 6 x - 3

= 9 x + 9 - 3 x^{2} - 6 x - 3

Group like terms

= - 3 x^{2} + 9 x - 6 x + 9 - 3

Add similar elements:

9 x - 6 x = 3 x

= - 3 x^{2} + 3 x + 9 - 3

Subtract the numbers:

9 - 3 = 6

= - 3 x^{2} + 3 x + 6

8 - 18 + 72

\frac{1}{\frac{3}{6}}

\frac{80}{360}

(x + 2) (x - 2) (x^{2} + 4) (x^{4} + 16) + 256

(x + 1)^{2} + (x - 1)^{2} - 2