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

The solution to (x+8)^2-(x+8)-4 is x^2+15x+52

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

simplify

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

x^{2} + 15 x + 52

Solution steps

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

Apply the distributive law:

- (a + b) = - a - b

- (x + 8) = - x - 8

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

Expand

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

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

Group like terms

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

Add similar elements:

16 x - x = 15 x

= x^{2} + 15 x + 64 - 8 - 4

Subtract the numbers:

64 - 8 - 4 = 52

= x^{2} + 15 x + 52

\frac{4}{3} \cdot \frac{5}{9}

12 - (- 1)

\frac{6}{5} - \frac{5}{3}

\frac{16}{7} \div \frac{8}{14}

(4 m + n) (m - 2 n)