Question

❤HOLA MATES ❤
_______________________________________

$(x {}^{4} + 4)$
FACTORISE IT.

_____________________________________

DON'T SPAM ❌ ❌

____________________________________

ANSWER MUST BE STEP BY STEP.

Answer 1

Given Equation is x^4 + 4.

It can be written as:

⇒ x^4 - 2x^3 + 2x^3 + 2x^2 - 4x^2 + 2x^2 - 4x + 4x + 4

⇒ x^4 - 2x^3 + 2x^2 + 2x^3 - 4x^2 + 4x + 2x^2 - 4x + 4

⇒ x^2(x^2 - 2x + 2) + 2x(x^2 - 2x + 2) + 2(x^2 - 2x + 2)

⇒ (x^2 + 2x + 2)(x^2 - 2x + 2).

Hope it helps!

Answer 2

Hello Angel☺☺

(x^4 + 4) = (x^2 + 2 )^2 - (2x)^2

Now, using identity a^2 - b^2 = (a+b)(a -b), we have..

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

So,

(x^4 + 4) = (x^2 + 2x +2)(x^2 - 2x + 2)


Hope it works for you..

----------------------ANGEL------------------