What is factor 4x^2-49y^6 ?

The solution to factor 4x^2-49y^6 is (2x+7y^3)(2x-7y^3)

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factor 4x^2-49y^6

factor

4 x^{2} - 49 y^{6}

(2 x + 7 y^{3}) (2 x - 7 y^{3})

Solution steps

4 x^{2} - 49 y^{6}

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

49 y^{6} = (7 y^{3})^{2}

= (2 x)^{2} - (7 y^{3})^{2}

Apply Difference of Two Squares Formula:

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

(2 x)^{2} - (7 y^{3})^{2} = (2 x + 7 y^{3}) (2 x - 7 y^{3})

= (2 x + 7 y^{3}) (2 x - 7 y^{3})

x + 9 [2 + 5 (x - 4) + 8 x]

(6 m^{2} - 8 mn + 4 n^{2}) (8 m + 8 n)

\frac{47}{5}

5 \cdot 4 \frac{5}{6}

\frac{m}{n} (\frac{y}{2} + m + 6)

What is factor 4x^2-49y^6 ?
The solution to factor 4x^2-49y^6 is (2x+7y^3)(2x-7y^3)