What is factor 8x^5y^3+32x^2y^8-64x^4y^2 ?

The solution to factor 8x^5y^3+32x^2y^8-64x^4y^2 is 8x^2y^2(x^3y+4y^6-8x^2)

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factor 8x^5y^3+32x^2y^8-64x^4y^2

factor

8 x^{5} y^{3} + 32 x^{2} y^{8} - 64 x^{4} y^{2}

8 x^{2} y^{2} (x^{3} y + 4 y^{6} - 8 x^{2})

Solution steps

8 x^{5} y^{3} + 32 x^{2} y^{8} - 64 x^{4} y^{2}

Apply exponent rule:

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

x^{5} y^{3} = x^{2} x^{3} y^{2} y, x^{2} y^{8} = x^{2} y^{2} y^{6}, x^{4} y^{2} = x^{2} x^{2} y^{2}

= 8 x^{2} x^{3} y^{2} y + 32 x^{2} y^{2} y^{6} - 64 x^{2} x^{2} y^{2}

Rewrite

- 64

8 \cdot 8

Rewrite

32

4 \cdot 8

= 8 x^{2} x^{3} y^{2} y + 4 \cdot 8 x^{2} y^{2} y^{6} + 8 \cdot 8 x^{2} x^{2} y^{2}

Factor out common term

8 x^{2} y^{2}

= 8 x^{2} y^{2} (x^{3} y + 4 y^{6} - 8 x^{2})

x (x + 2) = 5 (x + x + 2) - 1

π \cdot 3^{2}

3 - 2 x = 7 + 3 x

∣ x - 4 ∣ < 7

x^{2} + 1 = - x + 3

What is factor 8x^5y^3+32x^2y^8-64x^4y^2 ?
The solution to factor 8x^5y^3+32x^2y^8-64x^4y^2 is 8x^2y^2(x^3y+4y^6-8x^2)