Mathematics
Factorise the following:
32x2 - 18y2
Factorisation
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Answer
32x2 - 18y2 = 2(16x2 - 9y2) = 2[(4x)2 - (3y)2].
Using identity,
a2 - b2 = (a + b)(a - b).
2[(4x)2 - (3y)2] = 2(4x + 3y)(4x - 3y).
Hence, 32x2 - 18y2 = 2(4x + 3y)(4x - 3y).
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