Q. 333.7( 3 Votes )

Find the following products:

(i) ( + 2๐‘ฆ)

(ii) (๐‘ฅ2โˆ’1)(๐‘ฅ4 + ๐‘ฅ2 + 1)

Answer :

(i) Given that:


=



[โˆต (a + b)(a2 โ€“ ab + b2) = a3 + b3]


=


(ii) Given that: (x2 โˆ’ 1) (x4 + x2 + 1)


= (x2 โˆ’ 1) [(x2)2 + (x2) (1) + (1)2]


= (x2)3 โˆ’ (1)3


[โˆต (a โ€“ b) (a2 + ab + b2) = a3 โ€“ b3]


= x6 โˆ’ 1


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