What is (3x-3)^2-7(3x-3)+15 ?

The solution to (3x-3)^2-7(3x-3)+15 is 9x^2-39x+45

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simplify (3x-3)^2-7(3x-3)+15

simplify

(3 x - 3)^{2} - 7 (3 x - 3) + 15

9 x^{2} - 39 x + 45

Solution steps

(3 x - 3)^{2} - 7 (3 x - 3) + 15

Expand

(3 x - 3)^{2} : 9 x^{2} - 18 x + 9

= 9 x^{2} - 18 x + 9 - 7 (3 x - 3) + 15

Expand

- 7 (3 x - 3) : - 21 x + 21

= 9 x^{2} - 18 x + 9 - 21 x + 21 + 15

Group like terms

= 9 x^{2} - 18 x - 21 x + 9 + 21 + 15

Add similar elements:

- 18 x - 21 x = - 39 x

= 9 x^{2} - 39 x + 9 + 21 + 15

Add the numbers:

9 + 21 + 15 = 45

= 9 x^{2} - 39 x + 45

18 x y - 30 x^{2}

15 + 2 x - x^{2}

(2 x^{- 3})^{- 2} x^{- 2}

(3 a - 1)^{2}

(x^{2} - x + 2) (12 x^{4} + 2 x^{2} + 3 x)

What is (3x-3)^2-7(3x-3)+15 ?
The solution to (3x-3)^2-7(3x-3)+15 is 9x^2-39x+45