What is factor 4x^2+20xy+9y^2 ?

The solution to factor 4x^2+20xy+9y^2 is (2x+y)(2x+9y)

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factor 4x^2+20xy+9y^2

factor

4 x^{2} + 20 x y + 9 y^{2}

(2 x + y) (2 x + 9 y)

Solution steps

4 x^{2} + 20 x y + 9 y^{2}

Break the expression into groups

= (4 x^{2} + 2 x y) + (18 x y + 9 y^{2})

Factor out

2 x

from

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

Factor out

9 y

from

18 x y + 9 y^{2} : 9 y (2 x + y)

= 2 x (2 x + y) + 9 y (2 x + y)

Factor out common term

2 x + y

= (2 x + y) (2 x + 9 y)

(5 x + 5 y) - (- x + 10 y)

y \times 1

3 \times 16

\frac{x ^{2} - 1}{x ^{2} + 2 x - 3}

\frac{14}{y ^{2}}

What is factor 4x^2+20xy+9y^2 ?
The solution to factor 4x^2+20xy+9y^2 is (2x+y)(2x+9y)