What is (3x+2)^2+8(3x+2)+12 ?

The solution to (3x+2)^2+8(3x+2)+12 is 9x^2+36x+32

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simplify (3x+2)^2+8(3x+2)+12

simplify

(3 x + 2)^{2} + 8 (3 x + 2) + 12

9 x^{2} + 36 x + 32

Solution steps

(3 x + 2)^{2} + 8 (3 x + 2) + 12

Expand

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

= 9 x^{2} + 12 x + 4 + 8 (3 x + 2) + 12

Expand

8 (3 x + 2) : 24 x + 16

= 9 x^{2} + 12 x + 4 + 24 x + 16 + 12

Group like terms

= 9 x^{2} + 12 x + 24 x + 4 + 16 + 12

Add similar elements:

12 x + 24 x = 36 x

= 9 x^{2} + 36 x + 4 + 16 + 12

Add the numbers:

4 + 16 + 12 = 32

= 9 x^{2} + 36 x + 32

x^{3} \cdot x

(\frac{1}{2} + \frac{3}{2} i)^{2 - 3 i}

\frac{1}{15} - \frac{1}{3} - \frac{4}{5}

3 x^{4} + 4 x^{3}

s^{4} - 16

What is (3x+2)^2+8(3x+2)+12 ?
The solution to (3x+2)^2+8(3x+2)+12 is 9x^2+36x+32