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Question

Factorise 81x2−49y2.

A
(9x - 7y)(9x + 7y)
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B
(9x + 7y)(9x + 7y)
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C
(9x - 7y)(9x - 7y)
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D
(3x - 7y)(3x + 7y)
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Solution

The correct option is A (9x - 7y)(9x + 7y)
Difference of squares of two terms is the product of their difference and sum.
81x249y2 = 92x272y2
=(9x)2(7y)2
= (9x - 7y)(9x + 7y)

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