We don't usually
write x (times) in
an equation when
multiplying, we
instead just put
the number in
front of the
bracket. (Example:
3y(4-2y), not 3y x
(4-2y)
Distributive Law
a(b+c)
We expand it by
multiplying the
number outside the
bracket with both
numbers inside the
bracket.
(a+b)(c+d)
we do this by
multiplying by using
SLIP.
Perfect Squares
(a+b)^2
We get our answer
by expanding the
brackets, and then
simplifying it later,
In general:
Difference of 2 Squares
(a+b)(a-b)
Method: We will first
have to expand the
brackets, which will
be a^2 +ab -ab
-b^2. We will then
need to simplify the
terms and it will
become a^2 - b^2.
When we
simplify, the two
middle terms
cancel out.
Examp,e:
Simplifying
We simplify equations by
finding the common factors,
and then we simplify.
This is so that we
can see the
equations in a
much easier way.
Example:
Expanding
Expanding expression with brackets
When there is a negative term
outside the bracket, the sign of
the multiplied terms change.
Example:
To expand, we have
to multiply every
term inside a
bracket by the term
outside the bracket.
Example:
Expanding brackets and simplifying
Sometimes, we
need to multiply out
brackets then
simplify.
Multiplying out
both brackets or
terms and
collecting like
terms.
Examples:
We have to multiply
the bracket in order
to expand it.