What is factor 169x^6y^{12}-13x^3y^6 ?

The solution to factor 169x^6y^{12}-13x^3y^6 is 13x^3y^6(13x^3y^6-1)

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factor 169x^6y^{12}-13x^3y^6

factor

169 x^{6} y^{12} - 13 x^{3} y^{6}

13 x^{3} y^{6} (13 x^{3} y^{6} - 1)

Solution steps

169 x^{6} y^{12} - 13 x^{3} y^{6}

Apply exponent rule:

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

x^{6} y^{12} = x^{3} x^{3} y^{6} y^{6}

= 169 x^{3} x^{3} y^{6} y^{6} - 13 x^{3} y^{6}

Rewrite

169

13 \cdot 13

= 13 \cdot 13 x^{3} x^{3} y^{6} y^{6} - 13 x^{3} y^{6}

Factor out common term

13 x^{3} y^{6}

= 13 x^{3} y^{6} (13 x^{3} y^{6} - 1)

4 x = 3 x

(x + 1)^{2} = 12

x (1 - x^{2})^{3} > 3 (1 - x^{2})^{3}

0 = x^{2} + x - 30

\frac{18}{25}

What is factor 169x^6y^{12}-13x^3y^6 ?
The solution to factor 169x^6y^{12}-13x^3y^6 is 13x^3y^6(13x^3y^6-1)