ICSE Class 9 Answered
Can You please show the solution of the following sums :-
- (a2-1)(b2-1)+4ab
- x4+x2+1
Asked by jyotiharish2001 | 13 Jun, 2015, 06:51: PM
Expert Answer
Assuming that the question asks to factorise the given expressions, the explanation is as follows:
1. (a2-1)(b2-1)+4ab = a2b2-a2-b2+1+4ab= a2b2-a2-b2+1+2ab+2ab
Rearranging the terms, we get
(a2b2+2ab+1)-(a2+b2-2ab)
=(ab+1)2 - (a-b)2
=(ab+1+a-b)(ab+1-(a-b))
=(ab+1+a-b)(ab+1-a+b)
2. x4+x2+1 = x4+2x2-x2+1
Rearranging the terms, we get
(x4+2x2+1) - x2
=(x2+1)2 - x2
=(x2+1+x)(x2+1-x)
Answered by satyajit samal | 14 Jun, 2015, 09:11: AM
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