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okay so by way of example
in terms of how a lesson could work
which is showing you how factorization using the highest common factor approach could be done
typically the first slide would have
some title explaining
what's going to be covered in the lesson
So as an example I'm going to use
8 (x squared) y
plus 6 x (y squared)
Changing to a different colour
i'm gonna work out what the highest common factor is
so what is common to both of those terms
2 is common to both 8 and 6
x is common to (x squared) and x
write that down
and y is common to y and (y squared)
The highest common factor is
2xy
So
i take my highest common factor out
2xy
brackets
what term do i need to get over here to get back to a 8 (x squared) y?
2 times what gives 8?
4
x times x gives (x squared)
y is already there so it would just be 1 so I dont need to worry about that
plus over here
what times 2
is going to give 6? 3
x times 1 gives x
and y times y
gives y squared.
So that is an example of using the highest common factor