Question

(i) (x + 1)(x - 1)(x2 +1)​

Answer 1

Answer:

Given expression,

 (x+1)*(x-1)*(x²+1)

=[(x+1)*(x-1)]*(x²+1)

Using formula (a=b)*(a-b)=a²-b²

Substituting x in place of a and 1 in place of b

Therefore,

 (x+1)*(x-1)=(x)²-(1)²

                  =x²-1

Therefore,

[(x+1)*(x-1)]*(x²+1)=[x²-1]*(x²+1)  

=(x²-1)(x²+1)

Using formula (a=b)*(a-b)=a²-b²

Substituting x² in place of a and 1 in place of b,

Therefore,

 (x²-1)*(x²+1)=(x²)²-(1)²

                  =x⁴-1

Step-by-step explanation:

Answer 2

Answer:

x^4+x^2

=x^2(x^2+1)

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