What is factor 51x^4y^2-119x^2y^4 ?

The solution to factor 51x^4y^2-119x^2y^4 is 17x^2y^2(3x^2-7y^2)

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factor 51x^4y^2-119x^2y^4

factor

51 x^{4} y^{2} - 119 x^{2} y^{4}

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

Solution steps

51 x^{4} y^{2} - 119 x^{2} y^{4}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

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

= 51 x^{2} x^{2} y^{2} - 119 x^{2} y^{2} y^{2}

Rewrite

- 119

7 \cdot 17

Rewrite

51

3 \cdot 17

= 3 \cdot 17 x^{2} x^{2} y^{2} + 7 \cdot 17 x^{2} y^{2} y^{2}

Factor out common term

17 x^{2} y^{2}

= 17 x^{2} y^{2} (3 x^{2} - 7 y^{2})

25 \cdot 340

9 \frac{2}{5}

\frac{1}{x ^{2}} - \frac{1}{9}

(x^{11})^{5}

- 2 + (- 12)

What is factor 51x^4y^2-119x^2y^4 ?
The solution to factor 51x^4y^2-119x^2y^4 is 17x^2y^2(3x^2-7y^2)