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Popular >

simplify (2xy^2-5xy^2)^2

Solution

simplify

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

Solution

9 x^{2} y^{4}

Solution steps

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

Add similar elements:

2 x y^{2} - 5 x y^{2} = - 3 x y^{2}

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

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

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

= (3 x y^{2})^{2}

Apply exponent rule:

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

(3 x y^{2})^{2} = 3^{2} x^{2} (y^{2})^{2}

= 3^{2} x^{2} (y^{2})^{2}

3^{2} = 9

= 9 x^{2} (y^{2})^{2}

Simplify

(y^{2})^{2} : y^{4}

= 9 x^{2} y^{4}

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Frequently Asked Questions (FAQ)

What is (2xy^2-5xy^2)^2 ?
The solution to (2xy^2-5xy^2)^2 is 9x^2y^4