Collection Of Like Terms
Expanding Grouping Symbols
Binomial Products are expressions which involve multiplying two term expressions by each other. USE FOIL METHOD.
If both binomial terms are the same
for example (2x+y)(2x+y) we may write it as (2x + y)2
We may remember the formula for these expressions as:
(a + b)2 = a2 + 2ab + b2
(a−b)2 = a2 −2ab + b2
We can now simplify an example such as
(2x + 2y)2 + (x−2y)2 = 4x2 + 8xy + 4y2 + x2 −4xy + 4y2
= 5x2 + 4xy + 8y2
Sum Times The Difference
We should notice that when we expand an expression such as (3x+2y)(3x−2y) we get a special result.
(3x + 2y)(3x−2y) = 9x2 −6xy + 6xy−4y2
= 9x2 −4y
So We Have A Special Rule
(a+b) (a-b) = a2 - b2
Coefficient first then variables follow
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