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

The solution to (x+8)^2+(x-8)^2-(x+2)(x-2) is x^2+132

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

simplify

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

x^{2} + 132

Solution steps

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

Expand

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

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

x^{2} + x^{2} - x^{2} = x^{2}

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

Add similar elements:

16 x - 16 x = 0

= x^{2} + 64 + 64 + 4

Add the numbers:

64 + 64 + 4 = 132

= x^{2} + 132

3 e^{2 t}

4 x^{2} + 3 x^{2}

(6 e^{- 5 x})^{2}

(x)^{2}

5 x^{2} + 50 x + 45

What is (x+8)^2+(x-8)^2-(x+2)(x-2) ?
The solution to (x+8)^2+(x-8)^2-(x+2)(x-2) is x^2+132