Question

Factorise: 2u^4-4u^2+2u^2-4 .

Answer 1

step 1: group them
\[(2u^4 - 4u^2) + (2u^2 - 4)\]
step2: factor out common factors
\[2u^2 (u^2 - 2) + 2(u^2 - 2)\]
step 3: factor out again
\[(u^2 - 2)(2u^2 + 2)\]
does that help?

Answer 2

yes! :D thank you agaaaiiin

Answer 3

actually...if you look at the second factor..you can factor something out again...can you find it? ;)

Answer 4

the 2 ?

Answer 5

right! so what do you think will it look like?

Answer 6

2(u^2+1)(u^2-2)?

Answer 7

right. that is now the fully factored form

Answer 8

I seee ;D thanksss x

Answer 9

welcome welcome :D