What is factor 4x^4-25y^2 ?

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

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factor 4x^4-25y^2

factor

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

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

Solution steps

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

4 x^{4} = (2 x^{2})^{2}

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

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

Apply Difference of Two Squares Formula:

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

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

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

3 \times 9 + 10 \times \frac{36}{6}

\frac{2 x + 4}{3} \geq \frac{x}{6} - 3

21 x^{2} \geq - 11 x + 2

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

x^{\frac{1}{4}} \cdot x^{\frac{1}{2}}

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