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Popular >

factor 9u^2-4v^2

Solution

factor

9 u^{2} - 4 v^{2}

Solution

(3 u + 2 v) (3 u - 2 v)

Solution steps

9 u^{2} - 4 v^{2}

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

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

= (3 u)^{2} - (2 v)^{2}

Apply Difference of Two Squares Formula:

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

(3 u)^{2} - (2 v)^{2} = (3 u + 2 v) (3 u - 2 v)

= (3 u + 2 v) (3 u - 2 v)

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Frequently Asked Questions (FAQ)

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