What is (x-7)(x+7)-(x-8)(x+8) ?

The solution to (x-7)(x+7)-(x-8)(x+8) is 15

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simplify (x-7)(x+7)-(x-8)(x+8)

simplify

(x - 7) (x + 7) - (x - 8) (x + 8)

15

Solution steps

(x - 7) (x + 7) - (x - 8) (x + 8)

Expand

(x - 7) (x + 7) : x^{2} - 49

= x^{2} - 49 - (x - 8) (x + 8)

Expand

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

= x^{2} - 49 - x^{2} + 64

Group like terms

= x^{2} - x^{2} - 49 + 64

Add similar elements:

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

= - 49 + 64

64 - 49 = 15

= 15

sin^{2} (x) (1 + cot^{2} (x))

\frac{- 15}{2}

sin (x) (csc (x) - sin (x))

cos^{2} (t) - sin^{2} (t)

75 x^{3} - 27 x^{3}