Question

Simplify using identity: (x+ 1) (x-1) (x+ 2) (x –2).

Answer 1

Answer:

Step-by-step explanation:

wkt   [a+b][a-b] = a^2-b^2

so [x+1][x-1]=x^2-1

and [x+2][x-2] =x^2-4

multiply these both

[x^2-1][x^2-4] =x^4-4x^2-x^2+4

= x^4-5x^2+4

Answer 2

Answer:

x⁴ - 3x² + 4

Step-by-step explanation:

(x+ 1) (x-1) (x+ 2) (x –2).

= { (x)² - (1)² } { (x)²- (2)²}

= x²( x² - 4) -1 ( x²- 4 )

= x⁴ - 4x² - x² + 4

= x⁴ - 3x² + 4

Hope it will help you.

Thankyou !!