Using the identity is #160; (a+b)(a b)=a^ 2 b^2 .Given: #160; (3x 5y)(3x+5y) #160;we apply the above identity by taking #160; a = 3x and ...

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Algebraic Identities

Expand 3x-5...

Question

Expand $(3 x - 5 y) (3 x + 5 y)$

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Solution

Using the identity is $(a + b) (a - b) = a^{2} - b^{2}$ .

Given: $(3 x - 5 y) (3 x + 5 y)$ we apply the above identity by taking
$a = 3 x$ and $b = 5 y$
We get, $(3 x - 5 y) (3 x + 5 y) = {(3 x)}^{2} - {(5 y)}^{2} = 9 x^{2} - 25 y^{2}$

Hence, $(3 x - 5 y) (3 x + 5 y) = 9 x^{2} - 25 y^{2}$ .

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