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Question
Factorise the following:
49x2 – 64y2
Sum
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Solution
The given expression is,
49x2 – 64y2
Here we use the identity
a2 – b2 = (a + b)(a – b)
Taking a = 7x and b = 8y, we get
∴ 49x2 – 64y2
= (7x)2 – (8y)2
= (7x – 8y)(7x + 8y)
Therefore, the factors of the given expression are (7x – 8y) (7x + 8y)
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