What is factor p^2-169q^2 ?

The solution to factor p^2-169q^2 is (p+13q)(p-13q)

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factor p^2-169q^2

factor

p^{2} - 169 q^{2}

(p + 13 q) (p - 13 q)

Solution steps

p^{2} - 169 q^{2}

Simplify

169 q^{2} : (13 q)^{2}

= p^{2} - (13 q)^{2}

Apply Difference of Two Squares Formula:

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

p^{2} - (13 q)^{2} = (p + 13 q) (p - 13 q)

= (p + 13 q) (p - 13 q)

\frac{1}{8} \cdot 72000

8 x^{4} - 4 x^{3} + 12 x

9 x^{2} + 25 = 30 x

- \frac{2}{7} x \geq 14

\frac{6}{50}