What is factor x^2+10xy+21y^2 ?

The solution to factor x^2+10xy+21y^2 is (x+3y)(x+7y)

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factor x^2+10xy+21y^2

factor

x^{2} + 10 x y + 21 y^{2}

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

Solution steps

x^{2} + 10 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)

\frac{25 - 4 x}{3} = \frac{5 x + 12}{4} + 6

3 x^{2} > 0

48 p^{2} - 168 p + 147

(- 5)^{2}

\frac{x}{4} = - 6

What is factor x^2+10xy+21y^2 ?
The solution to factor x^2+10xy+21y^2 is (x+3y)(x+7y)