Question

Factorise
4a³b +8a²b² - 4ab² - 2a²b

Answer 1

Do you see any common factors?

Answer 2

2ab

Answer 3

Okay, what do you get after you've factored that out?

Answer 4

2ab (2a² + 4ab - 2b - a)

Answer 5

\[4a^3b+8a^2b^2-4ab^2-2a^2b =2ab(2a^2+4ab-2b-a)\]

Yes. Can you factor the expression in the parentheses?

Answer 6

Hint: factor by grouping

Answer 7

Taking just the part inside the parentheses for now:
\[2a^2+4ab-2b-a = (2a^2+4ab) - (2b+a) = 2a(a+2b)-(2b+a) \]\[= (2a-1)(a+2b)\]
So our entire thing factored is \[2ab(2a-1)(a+2b)\]

Answer 8

Thankyou I get it now