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Question
Factorize the following:
2x3y2 − 4x2y3 + 8xy4
Sum
Solution
The greatest common factor of the terms 2x3y2, -4x2y3 and 8xy4 of the expression 2x3y2 - 4x2y3+ 8xy4y64 is 2xy2.
Now,
2x3y2 = 2xy2 X x2
-4x2y3 = 2xy2 X -2xy
8xy4 = 2xy2 X 4y2
Hence, the expression 2x3y2 - 4x2y3 + 8xy4 can be factorised as 2xy2(x2 - 2xy + 4y2).
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