(x+1)(x-1)(x²+1)
find the continued product
Answers
Answered by
108
(x2-1)(x2+1)
(a+b)(a-b)=a2-b2
(x2)2-(1)2
x4-1
2 stands for square and 4 stands for square's whole square.
hope it helps.
Answered by
93
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
(Solved)
(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
(Solved)
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