What is (3x-2)^2-2(3x-2)-35 ?

The solution to (3x-2)^2-2(3x-2)-35 is 9x^2-18x-27

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simplify (3x-2)^2-2(3x-2)-35

simplify

(3 x - 2)^{2} - 2 (3 x - 2) - 35

9 x^{2} - 18 x - 27

Solution steps

(3 x - 2)^{2} - 2 (3 x - 2) - 35

Expand

(3 x - 2)^{2} : 9 x^{2} - 12 x + 4

= 9 x^{2} - 12 x + 4 - 2 (3 x - 2) - 35

Expand

- 2 (3 x - 2) : - 6 x + 4

= 9 x^{2} - 12 x + 4 - 6 x + 4 - 35

Group like terms

= 9 x^{2} - 12 x - 6 x + 4 + 4 - 35

Add similar elements:

- 12 x - 6 x = - 18 x

= 9 x^{2} - 18 x + 4 + 4 - 35

Add the numbers:

4 + 4 - 35 = - 27

= 9 x^{2} - 18 x - 27

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What is (3x-2)^2-2(3x-2)-35 ?
The solution to (3x-2)^2-2(3x-2)-35 is 9x^2-18x-27