What is factor 196x^2y^4-225z^{12} ?

The solution to factor 196x^2y^4-225z^{12} is (14xy^2+15z^6)(14xy^2-15z^6)

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factor 196x^2y^4-225z^{12}

factor

196 x^{2} y^{4} - 225 z^{12}

(14 x y^{2} + 15 z^{6}) (14 x y^{2} - 15 z^{6})

Solution steps

196 x^{2} y^{4} - 225 z^{12}

196 x^{2} y^{4} = (14 x y^{2})^{2}

225 z^{12} = (15 z^{6})^{2}

= (14 x y^{2})^{2} - (15 z^{6})^{2}

Apply Difference of Two Squares Formula:

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

(14 x y^{2})^{2} - (15 z^{6})^{2} = (14 x y^{2} + 15 z^{6}) (14 x y^{2} - 15 z^{6})

= (14 x y^{2} + 15 z^{6}) (14 x y^{2} - 15 z^{6})

\frac{2}{2} - \frac{2}{2}

\frac{64}{100}

- 16 \div 2

(2 x - 6) + (4 x - 12)

\frac{y ^{3}}{y}

What is factor 196x^2y^4-225z^{12} ?
The solution to factor 196x^2y^4-225z^{12} is (14xy^2+15z^6)(14xy^2-15z^6)