Question

simplify (x² + x +1 ) (x²-x +1)​

Answer 1

Answer:

(x^2+x+1)(x^2-x+1)

=x^4-x^3+x^2+x^3-x^2+x+x^2-x+1

=x^4+x^2+1 ans.

Answer 2

Given:

We have given an equation which is  (x² + x +1 ) (x²-x +1)​.

To Find:

We have to simplify the equation.

Step-by-step explanation:

• We have given an equation which is  (x² + x +1 ) (x²-x +1)​.
• For simplifying the above equation we will multiply the first term of first bracket with the each term of second bracket

        $x^4-x^3+x^2$

• Now we will multiply the second term of first bracket with the each term of second bracket we get

        $x^3-x^2+x$

• Now we will multiply the third term of first bracket with the each term of second bracket we get

        $x_2-x+1$

• Now we will add the all three equation above

       $x^4-x^3+x^2+x^3-x^2+x +x^2-x+1$

• Now we take the like terms together and simplify

        $x^4+x^2+1$

Hence we get the simplified form is $x^4+x^2+1$.