What is (x+7)^2-4(x+7)-6 ?

The solution to (x+7)^2-4(x+7)-6 is x^2+10x+15

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simplify (x+7)^2-4(x+7)-6

simplify

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

x^{2} + 10 x + 15

Solution steps

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

Expand

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

= x^{2} + 14 x + 49 - 4 (x + 7) - 6

Expand

- 4 (x + 7) : - 4 x - 28

= x^{2} + 14 x + 49 - 4 x - 28 - 6

Group like terms

= x^{2} + 14 x - 4 x + 49 - 28 - 6

Add similar elements:

14 x - 4 x = 10 x

= x^{2} + 10 x + 49 - 28 - 6

Subtract the numbers:

49 - 28 - 6 = 15

= x^{2} + 10 x + 15

1 2^{2} - 6^{2}

\frac{1}{x} + 4

\frac{1}{x} - 3

2 \cdot \frac{9}{16}

3 \cdot 81