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Popular >

factor 4a^2-9b^2

Solution

factor

4 a^{2} - 9 b^{2}

Solution

(2 a + 3 b) (2 a - 3 b)

Solution steps

4 a^{2} - 9 b^{2}

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

9 b^{2} = (3 b)^{2}

= (2 a)^{2} - (3 b)^{2}

Apply Difference of Two Squares Formula:

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

(2 a)^{2} - (3 b)^{2} = (2 a + 3 b) (2 a - 3 b)

= (2 a + 3 b) (2 a - 3 b)

Popular Examples

(x - 4) (x + 2) > 0

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\frac{12}{5} + \frac{3}{4} + 2

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simplify ((4/3)^2x)^1 simplify

((\frac{4}{3})^{2} x)^{1}

Frequently Asked Questions (FAQ)

What is factor 4a^2-9b^2 ?
The solution to factor 4a^2-9b^2 is (2a+3b)(2a-3b)