What is (3x-2)^2+5(3x-2)-1 ?

The solution to (3x-2)^2+5(3x-2)-1 is 9x^2+3x-7

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simplify (3x-2)^2+5(3x-2)-1

simplify

(3 x - 2)^{2} + 5 (3 x - 2) - 1

9 x^{2} + 3 x - 7

Solution steps

(3 x - 2)^{2} + 5 (3 x - 2) - 1

Expand

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

= 9 x^{2} - 12 x + 4 + 5 (3 x - 2) - 1

Expand

5 (3 x - 2) : 15 x - 10

= 9 x^{2} - 12 x + 4 + 15 x - 10 - 1

Group like terms

= 9 x^{2} - 12 x + 15 x + 4 - 10 - 1

Add similar elements:

- 12 x + 15 x = 3 x

= 9 x^{2} + 3 x + 4 - 10 - 1

Subtract the numbers:

4 - 10 - 1 = - 7

= 9 x^{2} + 3 x - 7

5 x^{3} - 55 x^{2} + 140 x

\frac{3}{4} + \frac{6}{9}

\frac{3}{4} + \frac{6}{7}

(x + 2 y + 2 z)^{2}

(- 7) - (- 8)