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

The solution to (x+11)^2-6(x+11)+2 is x^2+16x+57

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

simplify

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

x^{2} + 16 x + 57

Solution steps

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

Expand

(x + 11)^{2} : x^{2} + 22 x + 121

= x^{2} + 22 x + 121 - 6 (x + 11) + 2

Expand

- 6 (x + 11) : - 6 x - 66

= x^{2} + 22 x + 121 - 6 x - 66 + 2

Group like terms

= x^{2} + 22 x - 6 x + 121 - 66 + 2

Add similar elements:

22 x - 6 x = 16 x

= x^{2} + 16 x + 121 - 66 + 2

Add the numbers:

121 - 66 + 2 = 57

= x^{2} + 16 x + 57

- 9 - 144

\frac{2 x - 2}{x - 1}

\frac{35}{21}

- \frac{1}{3} - (- \frac{5}{12})