Q3 of 16 Page 63

Let’s find the value of by calculation if

or,


or,


or, [by transposition]



[With the help of the identity No. VI]



Given,



Multiplying both side by ‘x’



⇒ x2 + 1 = -x


⇒ x2 + x + 1 = 0


Now,


x3 – 1


Using x3 – y3 = (x – y)(x2 + xy + y2)


= (x – 1)(x2 + x + 1)


= (x – 1) × 0


= 0


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Let us simplify using formula:

i.


ii.


iii.


iv.



v.



4

Let’s find the value of by calculation if

 5

Let’s find the value of by calculation if