What is (x+8)^2-6(x+8)-4 ?

The solution to (x+8)^2-6(x+8)-4 is x^2+10x+12

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simplify (x+8)^2-6(x+8)-4

simplify

(x + 8)^{2} - 6 (x + 8) - 4

x^{2} + 10 x + 12

Solution steps

(x + 8)^{2} - 6 (x + 8) - 4

Expand

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

= x^{2} + 16 x + 64 - 6 (x + 8) - 4

Expand

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

= x^{2} + 16 x + 64 - 6 x - 48 - 4

Group like terms

= x^{2} + 16 x - 6 x + 64 - 48 - 4

Add similar elements:

16 x - 6 x = 10 x

= x^{2} + 10 x + 64 - 48 - 4

Subtract the numbers:

64 - 48 - 4 = 12

= x^{2} + 10 x + 12

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

\frac{1}{4} - 64

\frac{20}{56}

- - 147

17 x^{2} + x