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Question
Factorise the following:
72x2 – 50y2
Sum
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Solution
The given expression is,
72x2 – 50y2
= 2(36x2 – 25y2)
Here we use the identity
a2 – b2 = (a + b)(a – b)
Taking a = 6x and b = 5y, we get
∴ 72x2 – 50y2
= 2((6x)2 – (5y)2)
= 2(6x – 5y) (6x + 5y)
Therefore, the factors of the given expression are 2(6x – 5y) (6x + 5y)
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