What is factor 2x^2+15xy+25y^2 ?

The solution to factor 2x^2+15xy+25y^2 is (2x+5y)(x+5y)

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factor 2x^2+15xy+25y^2

factor

2 x^{2} + 15 x y + 25 y^{2}

(2 x + 5 y) (x + 5 y)

Solution steps

2 x^{2} + 15 x y + 25 y^{2}

Break the expression into groups

= (2 x^{2} + 5 x y) + (10 x y + 25 y^{2})

Factor out

x

from

2 x^{2} + 5 x y : x (2 x + 5 y)

Factor out

5 y

from

10 x y + 25 y^{2} : 5 y (2 x + 5 y)

= x (2 x + 5 y) + 5 y (2 x + 5 y)

Factor out common term

2 x + 5 y

= (2 x + 5 y) (x + 5 y)

x^{2} - 11 x - 42

14 x^{2} + 9 x + 10 = 0

x (y - z) - z (x - y) - y (x - z)

12 + 13 m + m^{2}

w^{2} - 25

What is factor 2x^2+15xy+25y^2 ?
The solution to factor 2x^2+15xy+25y^2 is (2x+5y)(x+5y)