What is (x+8)^2-6(x+8)-2 ?

The solution to (x+8)^2-6(x+8)-2 is x^2+10x+14

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simplify (x+8)^2-6(x+8)-2

simplify

(x + 8)^{2} - 6 (x + 8) - 2

x^{2} + 10 x + 14

Solution steps

(x + 8)^{2} - 6 (x + 8) - 2

Expand

(x + 8)^{2} : x^{2} + 16 x + 64

= x^{2} + 16 x + 64 - 6 (x + 8) - 2

Expand

- 6 (x + 8) : - 6 x - 48

= x^{2} + 16 x + 64 - 6 x - 48 - 2

Group like terms

= x^{2} + 16 x - 6 x + 64 - 48 - 2

Add similar elements:

16 x - 6 x = 10 x

= x^{2} + 10 x + 64 - 48 - 2

Subtract the numbers:

64 - 48 - 2 = 14

= x^{2} + 10 x + 14

\frac{1}{4} - 64

\frac{20}{56}

- - 147

17 x^{2} + x

\frac{2 c ^{6}}{3 ( c ^{5} ) ^{4}}