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Popular >

factor 16x^2+40xy^3+25y^6

Solution

factor

16 x^{2} + 40 x y^{3} + 25 y^{6}

Solution

(4 x + 5 y^{3})^{2}

Solution steps

16 x^{2} + 40 x y^{3} + 25 y^{6}

Break the expression into groups

= (16 x^{2} + 20 x y^{3}) + (20 x y^{3} + 25 y^{6})

Factor out

4 x

from

16 x^{2} + 20 x y^{3} : 4 x (4 x + 5 y^{3})

Factor out

5 y^{3}

from

20 x y^{3} + 25 y^{6} : 5 y^{3} (4 x + 5 y^{3})

= 4 x (4 x + 5 y^{3}) + 5 y^{3} (4 x + 5 y^{3})

Factor out common term

4 x + 5 y^{3}

= (4 x + 5 y^{3}) (4 x + 5 y^{3})

Apply exponent rule:

aa = a^{2}

(4 x + 5 y^{3}) (4 x + 5 y^{3}) = (4 x + 5 y^{3})^{2}

= (4 x + 5 y^{3})^{2}

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Frequently Asked Questions (FAQ)

What is factor 16x^2+40xy^3+25y^6 ?
The solution to factor 16x^2+40xy^3+25y^6 is (4x+5y^3)^2