What is factor 4x^4y+10x^3y-36x^2y-90xy ?

The solution to factor 4x^4y+10x^3y-36x^2y-90xy is 2xy(2x+5)(x+3)(x-3)

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factor 4x^4y+10x^3y-36x^2y-90xy

factor

4 x^{4} y + 10 x^{3} y - 36 x^{2} y - 90 x y

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

Solution steps

4 x^{4} y + 10 x^{3} y - 36 x^{2} y - 90 x y

Factor out common term

2 x y : 2 x y (2 x^{3} + 5 x^{2} - 18 x - 45)

= 2 x y (2 x^{3} + 5 x^{2} - 18 x - 45)

Factor

2 x^{3} + 5 x^{2} - 18 x - 45 : (2 x + 5) (x + 3) (x - 3)

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

x^{2} - 5 x = 2

10 - 10 ∣ - 8 k + 4 ∣ = 10

\frac{10 ( x + y ) ^{3}}{4 ( x + y ) ^{- 2}}

(7 y)^{2}

What is factor 4x^4y+10x^3y-36x^2y-90xy ?
The solution to factor 4x^4y+10x^3y-36x^2y-90xy is 2xy(2x+5)(x+3)(x-3)