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Algebraic Identities

Question

Use the identity $(a + b) (a - b) = a^{2} - b^{2}$ to find the product of $(3 x + 5) (3 x - 5)$

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Solution

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Using identity $(a + b) (a - b)$ = $a^{2} - b^{2}$
Hence $(3 x + 5) (3 x - 5)$ = $(3 x)^{2} - 5^{2}$ $= 9 x^{2} - 25$
The answer is $9 x^{2} - 25$

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