Question

Factorise x^4 +x^2 + 1​

Answer 1

Answer:

Consider x4 + x2 + 1

= (x4 + 2x2 + 1) – x2

= [(x2)2 + 2x2 + 1] – x2

= [x2 + 1]2 – x2

It is in the form of

(a2 – b2) = (a + b)(a – b)

Hence [x2 + 1]2 – x2= [x2 + 1 + x] [x2 + 1 – x]

Hope this helped u ✌️

☃️ ItzCristo☃️

Answer 2

Answer:

2x^2+1

Step-by-step explanation:

$x {}^{4} + x {}^{2} + 1 \\</h2><h2></h2><h2>(x {}^{2} ) {}^{2} + 2x {}^{2} + 1 {}^{2} - x {}^{2} \\(x {}^{2} + 1) {}^{2} - x {}^{2} </h2><h2> \\ since \: it \: is \: in \: the \: form \: a {}^{2} - b {}^{2} \\( x { }^{2} + 1 + x {}^{2} )(x {}^{2} + 1 - x {}^{2} ) \\ \\ (2x {}^{2} + 1)$