Question

Problem

(a) Expand and simplify
`(x^2+2)^2`
(b) Hence fully factorise
`x^4+4x+3`

Please do not give me irrelevant answers.

Answer 1

a)

`(x^(2) + 2)(x^(2) + 2)\\x^(4) + 2x^(2) + 2x^(2) + 4\\= x^(4) + 4x^(2) + 4\\`

b)

`(x +1)(x + 1)(x^(2) -2x +3) = (x + 1)^(2) (x^(2) -2x +3)`