What is factor 7x^5y^2-2x^8y^6+8x^3y^9 ?

The solution to factor 7x^5y^2-2x^8y^6+8x^3y^9 is x^3y^2(7x^2-2x^5y^4+8y^7)

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factor 7x^5y^2-2x^8y^6+8x^3y^9

factor

7 x^{5} y^{2} - 2 x^{8} y^{6} + 8 x^{3} y^{9}

x^{3} y^{2} (7 x^{2} - 2 x^{5} y^{4} + 8 y^{7})

Solution steps

7 x^{5} y^{2} - 2 x^{8} y^{6} + 8 x^{3} y^{9}

Apply exponent rule:

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

x^{5} y^{2} = x^{3} x^{2} y^{2}, x^{8} y^{6} = x^{3} x^{5} y^{2} y^{4}, x^{3} y^{9} = x^{3} y^{2} y^{7}

= 7 x^{3} x^{2} y^{2} - 2 x^{3} x^{5} y^{2} y^{4} + 8 x^{3} y^{2} y^{7}

Factor out common term

x^{3} y^{2}

= x^{3} y^{2} (7 x^{2} - 2 x^{5} y^{4} + 8 y^{7})

a^{2} + a - 56

- \frac{1}{3} m + 1 = - 7

\frac{1}{2} (- 5) - 2

x^{2} - 49 a^{2}

\frac{3 - 2 i}{4 + 5 i}

What is factor 7x^5y^2-2x^8y^6+8x^3y^9 ?
The solution to factor 7x^5y^2-2x^8y^6+8x^3y^9 is x^3y^2(7x^2-2x^5y^4+8y^7)