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Factorize the Following: 2x3y2 − 4x2y3 + 8xy4 - Mathematics

Sum

Factorize the following:
2x3y2 − 4x2y3 + 8xy4

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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 = 2xyX -2xy
8xy4​ = 2xyX 4y
Hence, the expression 2x3y2 - 4x2y3 + 8xy4 ​can be factorised as 2xy2(x2 - 2xy + 4y2)​.

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 7 Factorization
Exercise 7.2 | Q 6 | Page 5
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