Mathematics
Factorise the following:
4x2 - y2 - 3xy + 2x - 2y
Factorisation
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Answer
4x2 - y2 - 3xy + 2x - 2y
Above terms can be written as,
x2 + 3x2 - y2 - 3xy + 2x - 2y
Rearranging the above terms, we get,
(x2 - y2) + (3x2 - 3xy) + (2x - 2y)
We know that, a2 - b2 = (a - b)(a + b) and taking out common terms we get,
(x2 - y2) + (3x2 - 3xy) + (2x - 2y) = (x - y)(x + y) + 3x(x - y) + 2(x - y)
= (x - y)[(x + y) + 3x + 2]
= (x - y)(4x + y + 2).
Hence, 4x2 - y2 - 3xy + 2x - 2y = (x - y)(4x + y + 2).
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