What is factor 16x^5y^3+20x^4y^2-8x^3y^5 ?

The solution to factor 16x^5y^3+20x^4y^2-8x^3y^5 is 4x^3y^2(4x^2y+5x-2y^3)

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factor 16x^5y^3+20x^4y^2-8x^3y^5

factor

16 x^{5} y^{3} + 20 x^{4} y^{2} - 8 x^{3} y^{5}

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

Solution steps

16 x^{5} y^{3} + 20 x^{4} y^{2} - 8 x^{3} y^{5}

Apply exponent rule:

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

x^{5} y^{3} = x^{3} x^{2} y^{2} y, x^{4} y^{2} = x^{3} x y^{2}, x^{3} y^{5} = x^{3} y^{2} y^{3}

= 16 x^{3} x^{2} y^{2} y + 20 x^{3} x y^{2} - 8 x^{3} y^{2} y^{3}

Rewrite

- 8

2 \cdot 4

Rewrite

20

5 \cdot 4

= 4 \cdot 4 x^{3} x^{2} y^{2} y + 5 \cdot 4 x^{3} x y^{2} + 2 \cdot 4 x^{3} y^{2} y^{3}

Factor out common term

4 x^{3} y^{2}

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

(\frac{1}{3})^{\frac{1}{2}}

12 - 5 b = 14

3 (x - 5) + 13 = 2 (x + 3)

9 + 25

3^{2 x - 1} < 40

What is factor 16x^5y^3+20x^4y^2-8x^3y^5 ?
The solution to factor 16x^5y^3+20x^4y^2-8x^3y^5 is 4x^3y^2(4x^2y+5x-2y^3)