What is 3x^5y^5(-4x^2+2x^2y^2+4y^5) ?

The solution to 3x^5y^5(-4x^2+2x^2y^2+4y^5) is 3x^5y^5(2x^2y^2-4x^2+4y^5)

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simplify 3x^5y^5(-4x^2+2x^2y^2+4y^5)

simplify

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

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

Solution steps

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

x^{5} y^{5} = (x y)^{5}

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

(x y)^{5} = x^{5} y^{5}

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

\frac{5 x ^{2} y ^{8}}{5 x ^{4} y ^{8}}

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

x^{2} + 18 x = - 80

x^{2} = 12 x - 20

\frac{3 x ^{3} y ^{- 1} z ^{- 1}}{x ^{- 4} y ^{0} z ^{0}}

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