Mathematics
(x + y)2 - 3(x + y) - 4 is equal to :
(x + y + 4) (x + y - 1)
(x + y + 4) (x + y + 1)
(x + y - 4) (x + y + 1)
(x + y - 4) (x + y - 1)
Factorisation
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Answer
(x + y)2 - 3(x + y) - 4
= (x + y)2 + (- 4 + 1)(x + y) - 4
= (x + y)2 + (- 4 + 1)(x + y) - 4
= (x + y)2 - 4(x + y) + 1(x + y) - 4
= [(x + y)2 - 4(x + y)] + [1(x + y) + 4]
= (x + y)[(x + y) - 4] + 1[(x + y) + 4]
= [(x + y) + 1][(x + y) - 4]
= [x + y + 1][x + y - 4]
Hence, option 3 is the correct option.
Answered By
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