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Question

Which of the following is the factorised form of 20l2m+30alm?


A
10lm(l+3a)
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B
10lm(2l+3a)
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C
5lm(2l+3a)
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D
10lm(2l3a)
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Solution

The correct option is B 10lm(2l+3a)

Given, the expression is 20l2m+30alm.

The given expression can be factorised as follows:-

20l2m+30alm
=(2×2×5×l×l×m)+(2×3×5×a×l×m)

Taking out the common factors from both the terms, we get

=(2×5×l×m)[(2×l)+(3×a)]
=10lm(2l+3a)


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