What is factor a^2b^2-100 ?

The solution to factor a^2b^2-100 is (ab+10)(ab-10)

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factor a^2b^2-100

factor

a^{2} b^{2} - 100

(ab + 10) (ab - 10)

Solution steps

a^{2} b^{2} - 100

a^{2} b^{2} = (ab)^{2}

100 = 1 0^{2}

= (ab)^{2} - 1 0^{2}

Apply Difference of Two Squares Formula:

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

(ab)^{2} - 1 0^{2} = (ab + 10) (ab - 10)

= (ab + 10) (ab - 10)

\frac{3}{2 6}

x^{2} - 7 - \frac{81}{10 ( x + 5 )} + \frac{81}{10 ( x - 5 )} \geq 0

∣ x - 4 ∣ = ∣ 3 x + 6 ∣

- 16 v^{3} w - 16 v^{2} w - 56 v w

\frac{x}{- 10} - 3 = 3