What is (x+3)^2-(x-4)^2-14x ?

The solution to (x+3)^2-(x-4)^2-14x is -7

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simplify (x+3)^2-(x-4)^2-14x

simplify

(x + 3)^{2} - (x - 4)^{2} - 14 x

- 7

Solution steps

(x + 3)^{2} - (x - 4)^{2} - 14 x

Expand

(x + 3)^{2} : x^{2} + 6 x + 9

= x^{2} + 6 x + 9 - (x - 4)^{2} - 14 x

Expand

- (x - 4)^{2} : - x^{2} + 8 x - 16

= x^{2} + 6 x + 9 - x^{2} + 8 x - 16 - 14 x

Group like terms

= x^{2} - x^{2} + 6 x + 8 x - 14 x + 9 - 16

Add similar elements:

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

= 6 x + 8 x - 14 x + 9 - 16

Add similar elements:

6 x + 8 x - 14 x = 0

= 9 - 16

Subtract the numbers:

9 - 16 = - 7

= - 7

2 x^{3} - 9 x^{2} - 5 x

(- 2 sin (2 x))^{2}

(6 + 7) (5 + 7)

2^{2 + l o g_{2} (10)}

\frac{2 x}{x ^{2} - 16} - \frac{1}{x - 4}