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

The solution to (5x*y^4)^5-(5y^4*x)^3 is 3125x^5y^{20}-125y^{12}x^3

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simplify (5xy^4)^5-(5y^4x)^3

simplify

(5 x \cdot y^{4})^{5} - (5 y^{4} \cdot x)^{3}

3125 x^{5} y^{20} - 125 y^{12} x^{3}

Solution steps

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

(5 x y^{4})^{5} = 3125 x^{5} y^{20}

(5 y^{4} x)^{3} = 125 y^{12} x^{3}

= 3125 x^{5} y^{20} - 125 y^{12} x^{3}

(3 x + 2)^{2} - (2 x - 3)^{2}

(x^{2} + 2 x - 3) (x^{2} + x - 2)

(a - b)^{3} + (a + b)^{3}

e^{\frac{- x ^{2}}{4}}

x^{2} - (\frac{1}{x})^{2} + 2 x (\frac{1}{x})

What is (5x*y^4)^5-(5y^4*x)^3 ?
The solution to (5x*y^4)^5-(5y^4*x)^3 is 3125x^5y^{20}-125y^{12}x^3