Question

The product (x²−1) (x⁴ + x² + 1) is equal to

पर्याय

•  x⁸ − 1

•  x⁸ + 1

• x⁶ − 1

• x⁶   +  1

Answer 1

We have to find the product of  `(x^2 - 1)(x^4 +x^2 +1)`

Using identity `(a^3 -b ^3) = (a-b)(a^2 +ab + b^2)`

Here  `a=x^2 , b = 1`

`(x^2)^3  - (1)^3 = (x^2 - 1)[(x^2)^2 + x^2 xx 1 +1^2]`

            `x^6 - 1 = (x^2-1)(x^4 + x^2 + 1)`

Hence the product value of   `(x^2 - 1)(x^4 +x^2 +1)` is `x^6 - 1`.