What is factor 4a^2-81b^2 ?

The solution to factor 4a^2-81b^2 is (2a+9b)(2a-9b)

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factor 4a^2-81b^2

factor

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

(2 a + 9 b) (2 a - 9 b)

Solution steps

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

4 a^{2} = (2 a)^{2}

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

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

Apply Difference of Two Squares Formula:

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

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

= (2 a + 9 b) (2 a - 9 b)

\frac{1}{4} \cdot 7

6 x^{2} - 42 x + 60 = 0

\frac{1.4 \cdot 1 0 ^{- 8}}{3.5 \cdot 1 0 ^{- 13}}

16 a^{2} - 49 b^{2}

x^{2} y - y^{2} x