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Question
Factorise the following expression.
2x2 − 8y2
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Solution
2x2 − 8y2
= 2(x2 − 4y2)
Let us recognize it as the difference of the squares of a and b.
a = x2
b = 4y2 = 2y2
a2 − b2 = (a + b)(a − b)
= 2 [(x)2 − (2y)2]
= 2 (x + 2y) (x − 2y)
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