What is factor 49x^2-(y+8x)^2 ?

The solution to factor 49x^2-(y+8x)^2 is -(15x+y)(x+y)

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factor 49x^2-(y+8x)^2

factor

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

- (15 x + y) (x + y)

Solution steps

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

Simplify

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

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

Apply Difference of Two Squares Formula:

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

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

= (7 x + (y + 8 x)) (7 x - (y + 8 x))

Simplify

(7 x + (y + 8 x)) (7 x - (y + 8 x)) : (15 x + y) (- x - y)

= (15 x + y) (- x - y)

Factor

- x - y : - (x + y)

= (15 x + y) (- (x + y))

Apply rule:

a (- b) = - ab

(15 x + y) (- (x + y)) = - (15 x + y) (x + y)

= - (15 x + y) (x + y)

- \frac{2}{7} + \frac{6}{5}

∣ 3 y - 8 ∣ = ∣ 8 - 3 y ∣

7 < ∣ x - 3 ∣ < 11

- 2 x < - 8

u^{2} + u - 12

What is factor 49x^2-(y+8x)^2 ?
The solution to factor 49x^2-(y+8x)^2 is -(15x+y)(x+y)