How do you factor 5ab-2b squared-2b+5a?

Question

lgbasallote · Answer

try rearranging them

$$\implies 5ab + 5a - 2b^2 - 2b$$
do you see how to factor it now? or no?

anonymous · Answer

No... Like I want to be taught the process to fully factor it

lgbasallote · Answer

well the first step is to rearrange it (like i did)

lgbasallote · Answer

the next step...is to group the terms like this $$\implies (5ab + 5a) + (-2b^2 - 2b)$$
still don't see the factor?

anonymous · Answer

Yeah I see it .. So when you rearrange it... you do it according to the numbers and letters right?

lgbasallote · Answer

yes

lgbasallote · Answer

because you want the common terms to be together

anonymous · Answer

Oh okay, so for instance, if it said 6ab+6a, I would group that first? Does it matter which order it's in?

lgbasallote · Answer

it depends... remember: in addition there is a commutative property...that means order doesn't matter... but in subtraction...there's no commutative property

lgbasallote · Answer

unless you do it like this

6ab - 6a => -6a + 6ab

that's fine.. but these are not equal

6ab - 6a => 6a - 6ab

anonymous · Answer

Oh okay, so what would you do if it was in subtraction? Can you give me another question to solve to see if I understand?

lgbasallote · Answer

sure try this $$\huge 5xy + 10y - 4x^2 + 8y^2$$

lgbasallote · Answer

it's a bit different since you don't have same numbers here

lgbasallote · Answer

sorry...i have to go now...

anonymous · Answer

Okay