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ICSE Class 9 Answered

(x+1)(x+2)(x+3)(x+4)-3  please factorise this
Asked by shahidbaba874 | 26 Sep, 2018, 09:44: PM
answered-by-expert Expert Answer
 

(x+1)(x+2)(x+3)(x+4)-3

=[(x+1)(x+4)][(x+2)(x+3)]-3

= (x2 + 5x + 4) (x2 + 5x + 6) - 3

Put x2 + 5x = a

=(a + 4) (a + 6) - 3

=a2 + 10a + 24 - 3

=a2 + 10a + 21

=(a + 7)(a + 3)

Resubstitute the value of a, we get

=(x2 + 5x + 7)(x2 + 5x + 3)

Answered by Yasmeen Khan | 27 Sep, 2018, 11:12: AM

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