What is factor 20x^3y^2+8x^9y^3-16x^5y^2 ?

The solution to factor 20x^3y^2+8x^9y^3-16x^5y^2 is 4x^3y^2(5+2x^6y-4x^2)

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factor 20x^3y^2+8x^9y^3-16x^5y^2

factor

20 x^{3} y^{2} + 8 x^{9} y^{3} - 16 x^{5} y^{2}

4 x^{3} y^{2} (5 + 2 x^{6} y - 4 x^{2})

Solution steps

20 x^{3} y^{2} + 8 x^{9} y^{3} - 16 x^{5} y^{2}

Apply exponent rule:

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

x^{9} y^{3} = x^{3} x^{6} y^{2} y, x^{5} y^{2} = x^{3} x^{2} y^{2}

= 20 x^{3} y^{2} + 8 x^{3} x^{6} y^{2} y - 16 x^{3} x^{2} y^{2}

Rewrite

- 16

4 \cdot 4

Rewrite

8

2 \cdot 4

= 5 \cdot 4 x^{3} y^{2} + 2 \cdot 4 x^{3} x^{6} y^{2} y + 4 \cdot 4 x^{3} x^{2} y^{2}

Factor out common term

4 x^{3} y^{2}

= 4 x^{3} y^{2} (5 + 2 x^{6} y - 4 x^{2})

x^{2} - 12 x + 8 = 0

6 - \frac{9}{2}

25 y^{2} + 60 y + 36

- \frac{3}{4} + \frac{7}{8}

x + x

What is factor 20x^3y^2+8x^9y^3-16x^5y^2 ?
The solution to factor 20x^3y^2+8x^9y^3-16x^5y^2 is 4x^3y^2(5+2x^6y-4x^2)