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

The solution to 3(x+3)^2+3(x+3)+8 is 3x^2+21x+44

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

simplify

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

3 x^{2} + 21 x + 44

Solution steps

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

Expand

3 (x + 3)^{2} : 3 x^{2} + 18 x + 27

= 3 x^{2} + 18 x + 27 + 3 (x + 3) + 8

Expand

3 (x + 3) : 3 x + 9

= 3 x^{2} + 18 x + 27 + 3 x + 9 + 8

Group like terms

= 3 x^{2} + 18 x + 3 x + 27 + 9 + 8

Add similar elements:

18 x + 3 x = 21 x

= 3 x^{2} + 21 x + 27 + 9 + 8

Add the numbers:

27 + 9 + 8 = 44

= 3 x^{2} + 21 x + 44

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