Question

(x^2-1)(x^4+x^2+1)
factorise it please

Answer 1

Answer:

$\boxed{x^6-1}\checkmark$

Step-by-step explanation:

Order of Operations and Distributive Property

Order of operations

     ↓

PEMDAS

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

Distributive Property

     ↓

A(B+C)=AB+AC

Do parenthesis first.

$x^2x^4+x^2x^2+x^2*1+(-1)x^4+(-1)x^2+(-1)*1$

$x^4x^2+x^2x^2+1*x^2-1*x^4-1*x^2-1*1=x^6-1$

$x^4x^2=x^6$

$1*x^4=x^4$

$x^2x^2=x^4$

$1*1=1$

$x^6-x^4+x^4-1$

Add similar elements.

$\boxed{x^6-1}$, which is our answer.