What is (2x+4)^2+7(2x+4)+11 ?

The solution to (2x+4)^2+7(2x+4)+11 is 4x^2+30x+55

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simplify (2x+4)^2+7(2x+4)+11

simplify

(2 x + 4)^{2} + 7 (2 x + 4) + 11

4 x^{2} + 30 x + 55

Solution steps

(2 x + 4)^{2} + 7 (2 x + 4) + 11

Expand

(2 x + 4)^{2} : 4 x^{2} + 16 x + 16

= 4 x^{2} + 16 x + 16 + 7 (2 x + 4) + 11

Expand

7 (2 x + 4) : 14 x + 28

= 4 x^{2} + 16 x + 16 + 14 x + 28 + 11

Group like terms

= 4 x^{2} + 16 x + 14 x + 16 + 28 + 11

Add similar elements:

16 x + 14 x = 30 x

= 4 x^{2} + 30 x + 16 + 28 + 11

Add the numbers:

16 + 28 + 11 = 55

= 4 x^{2} + 30 x + 55

\frac{36}{84}

\frac{24}{( - 3 )}

\frac{5 + 3 i}{3 - 2 i}

- 2 (x - 1)^{2}

2 \frac{1}{2} + 3 \frac{1}{4}

What is (2x+4)^2+7(2x+4)+11 ?
The solution to (2x+4)^2+7(2x+4)+11 is 4x^2+30x+55