Question

find the product using formula
(x2 + x + 1) (x2 + x – 1)​

Answer 1

Solution :-

(x²+x+1)(x²+x-1)

applying identity a²-b² = (a+b)(a-b)

(x²+x)² - (1)²

x⁴+x²+2x²×x -1 [(a+b)² = a²+b²+2ab]

x⁴+x²+2x³-1

Answer 2

Answer:

[(x²+x)+1] [(x²+x)-1]

by using identity:- (a-b)(a+b) = a²-b²

so,

(x²+x)²-1²

by using identity:- (a+b)²=a²+2ab+b²

so,

x⁴+2x³+x²-1 is the product of (x²+x+1)(x²+x-1)

hope it helps you....✌✌