Question

find the product (x2+1/x4)x(x+1/x)

Answer 1

Answer:

Hi mate here is your answer

Step-by-step explanation:

Solution

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Identitity to be used : (a

3

−b

3

)=(a−b)(a

2

+ab+b

2

)

Consider given product

(x

2

−1)(x

4

+x

2

+1)

=(x

2

−1)((x

2

)

2

+x

2

(1)+1

2

)

=((x

2

)

3

−1

3

)

=x

6

−1

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Answer 2

Answer:

Identitity to be used :

$( {a}^{3} - {b}^{3} ) = (a - b)( {a}^{2} + ab + {b}^{2})$

Consider given product :

$({x}^{2} - 1)( {x}^{4} + {x}^{2} + 1)$

$= ( {x}^{2} - 1)(( {x}^{2}) ^{2} + {x}^{2} (1) + {1}^{2} )$

$= (( {x}^{2} ) ^{3} - {1}^{3} )$

$= {x}^{6} - 1$

Step-by-step explanation:

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