Algebraic Expansion
9/9/21
What
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is
it
important
which
it
because
the
rule :
example
4C 5 t 6)
=
(4×5)+(4×6)
20 t 24
the
value
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and
example
:
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=
:
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this is
4151-63
→
4417
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true because
=
⇒ however with
(2077
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variables, YOU
2×-14
do CX 7)
cannot
-
-
5×-5+2×3
15×+10×2
since
×
therefore
distributive
you
rule
two
parts
44
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does
work
because it's
down the
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abt ac
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to
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using
law
expand the
expression
simply breaking
expression into
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the
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expansion
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expression without
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why
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and
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2)
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algebraic expansion
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possible
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as
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FOIL
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rule
first ,
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=
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last → this
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↳
first
terms
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a
=
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inner
terms
=
b X C
last
terms
=
b X d
example :
=
multiply
X d
=
a
to
81-27
(3-8)+(3-2) 1-(7-8)
C 3 + 7) C
+
=
24
=
100
6
+
56
t
+
G.27
14
-7
this
is
true because
.
(3+7) (81-2)
.
.
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because
100
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variables ,
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know
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the values ;
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b)
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(4+7) (4-7)
:
42
=
this
variable
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true
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.
.
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it
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-33
-
8)
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8) j
CX
multiply
since the value
is
-
(4-7)
2✗
a
variables ,
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49
CID ✗ C- 3)
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with
72
=
CX + 8) CX
example :
-
b
-33
=
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16
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2
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true
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this is
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adding
LIKE
brackets
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terms
each term
3×1-27
X
⇐
multiplied by
2x
+
5×2
simplified
15×+2 <= 5
+
2nd
⇐
3+8×2-1
bracket
multiplied by
each term
17×+2
↳ SIMPLEST VERSION
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=
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ternent
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expansion
example :
2
Cx +
terms
first,
process
1) CX
brackets
,
you
because
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-
3) (x
+
4)
together
expand
will
that
the
first
make the
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in
expand
12
FOIL ,
first
two
brackets
C- 3- 4)
C-3×-8×7
-
5- using
multiply these two
expressions
⇐ now , you
+
+
3)
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CX +47
✗
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(-2×2+4×2)
.
←
⇐
connecting
like terms
-
12
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(22-61-32)
(2+3)
example :
Cot
catb)
23
33
-
example
(4×-12)
:
41×13
=
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-
64×3
=
CÉ¥Ñ -8×1-(-1%2)
-
23
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