What is factor 4x^{2a}-25y^4 ?

The solution to factor 4x^{2a}-25y^4 is (2x^a+5y^2)(2x^a-5y^2)

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factor 4x^{2a}-25y^4

factor

4 x^{2 a} - 25 y^{4}

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

Solution steps

4 x^{2 a} - 25 y^{4}

Rewrite

4 x^{2 a}

(2 x^{1 a})^{2}

Rewrite

25 y^{4}

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

= (2 x^{1 \cdot a})^{2} - (5 y^{2})^{2}

Apply Difference of Two Squares Formula:

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

(2 x^{1 a})^{2} - (5 y^{2})^{2} = (2 x^{1 a} + 5 y^{2}) (2 x^{1 a} - 5 y^{2})

= (2 x^{1 a} + 5 y^{2}) (2 x^{1 a} - 5 y^{2})

Refine

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

p x + m x + p y + m y

(2 x + 1)^{2} - 8 (2 x + 1) + 16

4 - x^{2}

x^{2} - 0.0001 y^{4}

- (a)^{3}

What is factor 4x^{2a}-25y^4 ?
The solution to factor 4x^{2a}-25y^4 is (2x^a+5y^2)(2x^a-5y^2)