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

The solution to 3(x+2)^2+5(x+2)-2 is 3x^2+17x+20

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

simplify

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

3 x^{2} + 17 x + 20

Solution steps

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

Expand

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

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

Expand

5 (x + 2) : 5 x + 10

= 3 x^{2} + 12 x + 12 + 5 x + 10 - 2

Group like terms

= 3 x^{2} + 12 x + 5 x + 12 + 10 - 2

Add similar elements:

12 x + 5 x = 17 x

= 3 x^{2} + 17 x + 12 + 10 - 2

Add the numbers:

12 + 10 - 2 = 20

= 3 x^{2} + 17 x + 20

- [- 6 + (- y)]

r^{3}

a^{4} - 8 a^{2} + 16

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

8^{2} + 9^{2}