What is (-x-8)^2+4(-x-8)-7 ?

The solution to (-x-8)^2+4(-x-8)-7 is x^2+12x+25

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simplify (-x-8)^2+4(-x-8)-7

simplify

(- x - 8)^{2} + 4 (- x - 8) - 7

x^{2} + 12 x + 25

Solution steps

(- x - 8)^{2} + 4 (- x - 8) - 7

Expand

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

= x^{2} + 16 x + 64 + 4 (- x - 8) - 7

Expand

4 (- x - 8) : - 4 x - 32

= x^{2} + 16 x + 64 - 4 x - 32 - 7

Group like terms

= x^{2} + 16 x - 4 x + 64 - 32 - 7

Add similar elements:

16 x - 4 x = 12 x

= x^{2} + 12 x + 64 - 32 - 7

Subtract the numbers:

64 - 32 - 7 = 25

= x^{2} + 12 x + 25

\frac{25}{16} x^{2} - 49

(1 + i) (5 - i)^{4}

(4 - x) (4 + 2 x) (4 - x)

\frac{2 - 5}{2 + 5}