What is (x+6)^2-x(x+12)-7 ?

The solution to (x+6)^2-x(x+12)-7 is 29

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simplify (x+6)^2-x(x+12)-7

simplify

(x + 6)^{2} - x (x + 12) - 7

29

Solution steps

(x + 6)^{2} - x (x + 12) - 7

Expand

(x + 6)^{2} : x^{2} + 12 x + 36

= x^{2} + 12 x + 36 - x (x + 12) - 7

Expand

- x (x + 12) : - x^{2} - 12 x

= x^{2} + 12 x + 36 - x^{2} - 12 x - 7

Group like terms

= x^{2} - x^{2} + 12 x - 12 x + 36 - 7

Add similar elements:

x^{2} - x^{2} = 0

= 12 x - 12 x + 36 - 7

Add similar elements:

12 x - 12 x = 0

= 36 - 7

Subtract the numbers:

36 - 7 = 29

= 29

x^{3} - 6 x^{2} + 10 x - 4

\frac{2 x}{x + 2} + \frac{x + 2}{x - 2}

6 a (b + 2 c)

f (x - 4)

\frac{3}{4} + \frac{1}{7}