What is factor x^2-2xy-63y^2 ?

The solution to factor x^2-2xy-63y^2 is (x+7y)(x-9y)

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factor x^2-2xy-63y^2

factor

x^{2} - 2 x y - 63 y^{2}

(x + 7 y) (x - 9 y)

Solution steps

x^{2} - 2 x y - 63 y^{2}

Break the expression into groups

= (x^{2} + 7 x y) + (- 9 x y - 63 y^{2})

Factor out

x

from

x^{2} + 7 x y : x (x + 7 y)

Factor out

- 9 y

from

- 9 x y - 63 y^{2} : - 9 y (x + 7 y)

= x (x + 7 y) - 9 y (x + 7 y)

Factor out common term

x + 7 y

= (x + 7 y) (x - 9 y)

x^{2} + 14 x + 48 = 0

9 x^{2} - 1 = 24

(2 a - 3 b) 4 b - 3 a (a - 2 b)

3 a^{2} - 4 ab - 20 b^{2}

4 c^{2} - 9 d^{2}

What is factor x^2-2xy-63y^2 ?
The solution to factor x^2-2xy-63y^2 is (x+7y)(x-9y)