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Byju's Answer
Standard IX
Mathematics
By Grouping
Which of the ...
Question
Which of the following is the factorisation of (xy + x + 4y + 4)?
A
(4x + 4)(4y + 4)
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B
(x + 4)(4y + 1)
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C
(x + 4)(y + 1)
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D
(3x + 4)(y + 1)
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Solution
The correct option is
C
(x + 4)(y + 1)
Given expression: (xy+x+4y+4)
By grouping the terms we get,
xy+x+4y+4
= (xy+x)+(4y+4)
=x(y+1)+4(y+1)
=(y+1)(x+4)
So,
xy+x+4y+4 = (x+4)(y+1)
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