What is factor-12xy^3+60x^2y^2-75x^3y ?

The solution to factor-12xy^3+60x^2y^2-75x^3y is -3xy(5x-2y)^2

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factor-12xy^3+60x^2y^2-75x^3y

factor

- 12 x y^{3} + 60 x^{2} y^{2} - 75 x^{3} y

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

Solution steps

- 12 x y^{3} + 60 x^{2} y^{2} - 75 x^{3} y

Factor out common term

- 3 x y : - 3 x y (4 y^{2} - 20 x y + 25 x^{2})

= - 3 x y (4 y^{2} - 20 x y + 25 x^{2})

Factor

4 y^{2} - 20 x y + 25 x^{2} : (5 x - 2 y) (5 x - 2 y)

= - 3 x y (5 x - 2 y) (5 x - 2 y)

Apply exponent rule:

aa = a^{2}

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

= - 3 x y (5 x - 2 y)^{2}

lo g_{3} (54) - lo g_{3} (2)

(k + 2)^{2}

20 \times 20

x^{4} + 3 x^{2} + 4

(7 - 3 i) (- 4 + 9 i)

What is factor-12xy^3+60x^2y^2-75x^3y ?
The solution to factor-12xy^3+60x^2y^2-75x^3y is -3xy(5x-2y)^2