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Question

Factorize the following expressions:
6x3y12x2y+15x4

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Solution

Let us first find the HCF of all the terms of the given polynomial 6x3y12x2y+15x4 by factoring the terms as follows:

6x3y=2×3×x×x×x×y12x2y=2×2×3×x×x×y15x4=3×5×x×x×x×x

Therefore, HCF=3×x×x=3x2

Now, we factor out the HCF from each term of the polynomial 6x3y12x2y+15x4 as shown below:

6x3y12x2y+15x4=3x2(2xy4y+5x2)

Hence, 6x3y12x2y+15x4=3x2(2xy4y+5x2).

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