What is (x+7)^2-6(x+7)-2 ?

The solution to (x+7)^2-6(x+7)-2 is x^2+8x+5

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simplify (x+7)^2-6(x+7)-2

simplify

(x + 7)^{2} - 6 (x + 7) - 2

x^{2} + 8 x + 5

Solution steps

(x + 7)^{2} - 6 (x + 7) - 2

Expand

(x + 7)^{2} : x^{2} + 14 x + 49

= x^{2} + 14 x + 49 - 6 (x + 7) - 2

Expand

- 6 (x + 7) : - 6 x - 42

= x^{2} + 14 x + 49 - 6 x - 42 - 2

Group like terms

= x^{2} + 14 x - 6 x + 49 - 42 - 2

Add similar elements:

14 x - 6 x = 8 x

= x^{2} + 8 x + 49 - 42 - 2

Subtract the numbers:

49 - 42 - 2 = 5

= x^{2} + 8 x + 5

(x + 7)^{2} - 6 (x + 7) - 4

11 x^{2}

\frac{8 a - 16 b}{24}

(u + 3) (u - 3)

49 x^{5} y^{7}