What is factor 25x^2-60xy^2+36y^4 ?

The solution to factor 25x^2-60xy^2+36y^4 is (5x-6y^2)^2

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factor 25x^2-60xy^2+36y^4

factor

25 x^{2} - 60 x y^{2} + 36 y^{4}

(5 x - 6 y^{2})^{2}

Solution steps

25 x^{2} - 60 x y^{2} + 36 y^{4}

Break the expression into groups

= (25 x^{2} - 30 x y^{2}) + (- 30 x y^{2} + 36 y^{4})

Factor out

5 x

from

25 x^{2} - 30 x y^{2} : 5 x (5 x - 6 y^{2})

Factor out

- 6 y^{2}

from

- 30 x y^{2} + 36 y^{4} : - 6 y^{2} (5 x - 6 y^{2})

= 5 x (5 x - 6 y^{2}) - 6 y^{2} (5 x - 6 y^{2})

Factor out common term

5 x - 6 y^{2}

= (5 x - 6 y^{2}) (5 x - 6 y^{2})

Apply exponent rule:

aa = a^{2}

(5 x - 6 y^{2}) (5 x - 6 y^{2}) = (5 x - 6 y^{2})^{2}

= (5 x - 6 y^{2})^{2}

- 3 p^{- 2} \cdot 8 p^{6}

- (3 z^{2} + 4 z) - (6 z^{2} - 2)

[(2 x)^{- 1} + (2 y)^{- 1}]^{- 1}

(x^{3} + 5)^{3} + 5

(7 x + 8)^{2}

What is factor 25x^2-60xy^2+36y^4 ?
The solution to factor 25x^2-60xy^2+36y^4 is (5x-6y^2)^2