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Popular >

factor 4x^3-9xy^2+4x^2y-9y^3

Solution

factor

4 x^{3} - 9 x y^{2} + 4 x^{2} y - 9 y^{3}

Solution

(2 x + 3 y) (2 x - 3 y) (x + y)

Solution steps

4 x^{3} - 9 x y^{2} + 4 x^{2} y - 9 y^{3}

= (4 x^{3} - 9 x y^{2}) + (4 x^{2} y - 9 y^{3})

Factor out

x

from

4 x^{3} - 9 x y^{2} : x (4 x^{2} - 9 y^{2})

Factor out

y

from

4 x^{2} y - 9 y^{3} : y (4 x^{2} - 9 y^{2})

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

Factor out common term

4 x^{2} - 9 y^{2}

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

Factor

4 x^{2} - 9 y^{2} : (2 x + 3 y) (2 x - 3 y)

= (2 x + 3 y) (2 x - 3 y) (x + y)

Popular Examples

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30 k^{3} + 6 k^{2}

h=54sqrt((10000+(-571))/(10000-(-571)))

h = 54 \frac{10000 + ( - 571 )}{10000 - ( - 571 )}

\frac{x}{3} + 4 = x - \frac{3}{2}

(5x)/3-x= x/6-5/2

\frac{5 x}{3} - x = \frac{x}{6} - \frac{5}{2}

Frequently Asked Questions (FAQ)

What is factor 4x^3-9xy^2+4x^2y-9y^3 ?
The solution to factor 4x^3-9xy^2+4x^2y-9y^3 is (2x+3y)(2x-3y)(x+y)