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Question

(3y+12b)(5ab)(y+4b)(25a2b2)=

A
35a-b
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B
35a+b
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C
33a+b
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D
55a+b
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Solution

The correct options are
A 35a-b
B 35a+b
Given, the expression is
(3y+12b)(5ab)(y+4b)(25a2b2).

The numerator can be written as,
(3y+12b)(5ab)
=3(y+4b)(5ab). . .(i)

Applying the identity
a2b2=(a+b)(ab),
in the denominator, we get,
(y+4b)(5a+b)(5ab). . .(ii)

Hence, from (i) and (ii),

(3y+12b)(5ab)(y+4b)(25a2b2)=3(y+4b)(5ab)(y+4b)(5a+b)(5ab)

=35a+b.

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