What is factor (8x+1)^2-(7x-5)^2 ?

The solution to factor (8x+1)^2-(7x-5)^2 is (15x-4)(x+6)

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factor (8x+1)^2-(7x-5)^2

factor

(8 x + 1)^{2} - (7 x - 5)^{2}

(15 x - 4) (x + 6)

Solution steps

(8 x + 1)^{2} - (7 x - 5)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(8 x + 1)^{2} - (7 x - 5)^{2} = ((8 x + 1) + (7 x - 5)) ((8 x + 1) - (7 x - 5))

= ((8 x + 1) + (7 x - 5)) ((8 x + 1) - (7 x - 5))

Simplify

((8 x + 1) + (7 x - 5)) ((8 x + 1) - (7 x - 5)) : (15 x - 4) (x + 6)

= (15 x - 4) (x + 6)

(x + 3) (x - 1) < (x - 1)^{2} + 3 x

e^{2 t} + e^{2 t} + 2 t^{2}

0.75 (8 + e) = 2 - 1.25 e

- 5 x + 12 = 5 x - 5

What is factor (8x+1)^2-(7x-5)^2 ?
The solution to factor (8x+1)^2-(7x-5)^2 is (15x-4)(x+6)