What is factor 16x^3y^2-8x^4y-24x^2y-40x^2y^3 ?

The solution to factor 16x^3y^2-8x^4y-24x^2y-40x^2y^3 is 8x^2y(2xy-x^2-3-5y^2)

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factor 16x^3y^2-8x^4y-24x^2y-40x^2y^3

factor

16 x^{3} y^{2} - 8 x^{4} y - 24 x^{2} y - 40 x^{2} y^{3}

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

Solution steps

16 x^{3} y^{2} - 8 x^{4} y - 24 x^{2} y - 40 x^{2} y^{3}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{3} y^{2} = x^{2} x yy, x^{4} y = x^{2} x^{2} y, x^{2} y^{3} = x^{2} y y^{2}

= 16 x^{2} x yy - 8 x^{2} x^{2} y - 24 x^{2} y - 40 x^{2} y y^{2}

Rewrite

- 40

5 \cdot 8

Rewrite

- 24

3 \cdot 8

= 2 \cdot 8 x^{2} x yy - 8 x^{2} x^{2} y + 3 \cdot 8 x^{2} y + 5 \cdot 8 x^{2} y y^{2}

Factor out common term

8 x^{2} y

= 8 x^{2} y (2 x y - x^{2} - 3 - 5 y^{2})

x (x - 1)^{3}

(1.999)^{4}

81 x^{6} y^{3}

2 \times 1.5

(5 - 4 x)^{2}

What is factor 16x^3y^2-8x^4y-24x^2y-40x^2y^3 ?
The solution to factor 16x^3y^2-8x^4y-24x^2y-40x^2y^3 is 8x^2y(2xy-x^2-3-5y^2)