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Question
Using the identity (a + b)(a – b) = a2 – b2, find the following product
(6x + 7y)(6x – 7y)
Solution
(6x + 7y)(6x – 7y)
Substituting a = 6x and b = 7y
In (a + b)(a – b) = a2 – b2, we get
(6x + 7y)(6x – 7y) = (6x)2 – (7y)2
= 62x2 – 72y2
(6x + 7y)(6x – 7y) = 36x2 – 49y2
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