What is factor x^2+4xy-21y^2 ?

The solution to factor x^2+4xy-21y^2 is (x-3y)(x+7y)

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factor x^2+4xy-21y^2

factor

x^{2} + 4 x y - 21 y^{2}

(x - 3 y) (x + 7 y)

Solution steps

x^{2} + 4 x y - 21 y^{2}

Break the expression into groups

= (x^{2} - 3 x y) + (7 x y - 21 y^{2})

Factor out

x

from

x^{2} - 3 x y : x (x - 3 y)

Factor out

7 y

from

7 x y - 21 y^{2} : 7 y (x - 3 y)

= x (x - 3 y) + 7 y (x - 3 y)

Factor out common term

x - 3 y

= (x - 3 y) (x + 7 y)

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

11 \leq 3 y + 14 \leq 23

4 + 4 x - 5 x = - 1

(\frac{3 a}{- b ^{4}})^{4}

- \frac{1}{4}

What is factor x^2+4xy-21y^2 ?
The solution to factor x^2+4xy-21y^2 is (x-3y)(x+7y)