What is (-2x-11)^2+5(-2x-11)+6 ?

The solution to (-2x-11)^2+5(-2x-11)+6 is 4x^2+34x+72

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simplify (-2x-11)^2+5(-2x-11)+6

simplify

(- 2 x - 11)^{2} + 5 (- 2 x - 11) + 6

4 x^{2} + 34 x + 72

Solution steps

(- 2 x - 11)^{2} + 5 (- 2 x - 11) + 6

Expand

(- 2 x - 11)^{2} : 4 x^{2} + 44 x + 121

= 4 x^{2} + 44 x + 121 + 5 (- 2 x - 11) + 6

Expand

5 (- 2 x - 11) : - 10 x - 55

= 4 x^{2} + 44 x + 121 - 10 x - 55 + 6

Group like terms

= 4 x^{2} + 44 x - 10 x + 121 - 55 + 6

Add similar elements:

44 x - 10 x = 34 x

= 4 x^{2} + 34 x + 121 - 55 + 6

Add the numbers:

121 - 55 + 6 = 72

= 4 x^{2} + 34 x + 72

\frac{3}{50}

5

250 x^{3} - 128

\frac{3}{1 - 5}

\frac{3}{4} \cdot \frac{2}{7}

What is (-2x-11)^2+5(-2x-11)+6 ?
The solution to (-2x-11)^2+5(-2x-11)+6 is 4x^2+34x+72