ok, i can't find my amazing notes from grade 12

so i'll have to use notes from gr 10....this should be interesting... (if only i could remember things!)
Ok, I'm just gonna give you basic stuff since you're going into grade 10, right?. Tell me if you need more...as I am not sure this will help or not. I'll put one lesson per post and start off simple.
Common Factors
Factoring is the inverse operation to expanding.
P = 2x + 2y (<-- must factor Polynomial!)
= 2(x + y) (woohoo it is factored and no longer expanded! *thumbs up*)
Now, its not always this easy so here's a little more complicated example and with "instructions" after it.
(NOTE: This symbol here "^" means "to the power/exponent of" as I cannot make the number higher and smaller. And remember that "3w" would be the same as "3 X w".

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(NOTE: I put spaces between things like "3x^2 y^3" so you didn't confuse it to be "3x2y^3" or something like that.

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example #1:
3x^2 y^3 - 9x^3 y^4 + 12x^3 y^2)
= (3x^2 y^2) (y - 3xy^2 + 4x)
Find the greatest common factor (GCF).
For "3x^2 y^2"...
"3"...is the GCF of numerical coefficients.
"x^2 y^2" is the GCF pf tje variables - lowest powers of x and y.
Step 1: Write down GCF.
Step 2: Divide each term by the GCF and write the quotient in brackets.
example #2:
m(2x - y) - 5(2x - y)
[note --> GCF = 2x - y]
= (2x - y) (m - 5)
Sometimes the GCF is an expression.