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

The solution to factor 4x^5y^5-8x^4y^4+x^3y^3 is x^3y^3(4x^2y^2-8xy+1)

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factor 4x^5y^5-8x^4y^4+x^3y^3

factor

4 x^{5} y^{5} - 8 x^{4} y^{4} + x^{3} y^{3}

x^{3} y^{3} (4 x^{2} y^{2} - 8 x y + 1)

Solution steps

4 x^{5} y^{5} - 8 x^{4} y^{4} + x^{3} y^{3}

Apply exponent rule:

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

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

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

Factor out common term

x^{3} y^{3}

= x^{3} y^{3} (4 x^{2} y^{2} - 8 x y + 1)

\frac{2}{5} - \frac{1}{4}

\frac{3}{1 - i}

\frac{60 ( 15 ) ^{2}}{( 15 ) ^{2} + 150}

3 (2 y - 9) = 15

x^{2} - 14 x - 6 = 0

What is factor 4x^5y^5-8x^4y^4+x^3y^3 ?
The solution to factor 4x^5y^5-8x^4y^4+x^3y^3 is x^3y^3(4x^2y^2-8xy+1)