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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

(3 a b^{2}) (a^{2} c^{5})

e^{- 2 l n (20 - x)}

(x)^{\frac{4}{3}}

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