What is factor 100a^2-81b^2 ?

The solution to factor 100a^2-81b^2 is (10a+9b)(10a-9b)

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factor 100a^2-81b^2

factor

100 a^{2} - 81 b^{2}

(10 a + 9 b) (10 a - 9 b)

Solution steps

100 a^{2} - 81 b^{2}

100 a^{2} = (10 a)^{2}

81 b^{2} = (9 b)^{2}

= (10 a)^{2} - (9 b)^{2}

Apply Difference of Two Squares Formula:

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

(10 a)^{2} - (9 b)^{2} = (10 a + 9 b) (10 a - 9 b)

= (10 a + 9 b) (10 a - 9 b)

x^{3} + 13 x^{2} + 34 x - 48

x^{3} - 1

\frac{- 3}{2} + 2

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

3 x^{2} - 15 x - 18

What is factor 100a^2-81b^2 ?
The solution to factor 100a^2-81b^2 is (10a+9b)(10a-9b)