What is factor 1-25a^2b^2 ?

The solution to factor 1-25a^2b^2 is (1+5ab)(1-5ab)

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factor 1-25a^2b^2

factor

1 - 25 a^{2} b^{2}

(1 + 5 ab) (1 - 5 ab)

Solution steps

1 - 25 a^{2} b^{2}

1 = 1^{2}

25 a^{2} b^{2} = (5 ab)^{2}

= 1^{2} - (5 ab)^{2}

Apply Difference of Two Squares Formula:

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

1^{2} - (5 ab)^{2} = (1 + 5 ab) (1 - 5 ab)

= (1 + 5 ab) (1 - 5 ab)

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

lo g_{5} (250) - lo g_{5} (2)

2 x^{2} (3 x + 3) + 5 x (8 - 4 x^{2})

25 - - 4 + 9 - - 81

(a^{2} b - m n^{2} + x^{2} y^{2})^{2}