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section 9.5 - difference of squares
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Section 9.5- Difference of Squares
review:
multiply- (
2x
+
7
)(
2x
-
7
)
= 4x^2-49
Difference of Squares
a^2-b^2=(a-b)(a+b)
a^2+b^2=
PRIME
EX
:
factor
:
9p^2-25
(
3p
+
5
)(
3p
-
5
)
EX2
: 16x^2-121y^2
(
4x
-
11y
)(
4x
+
11y
)
EX3
: 8p^2-98pq^2
2p(4p^2-49q^2)
2p(2p-7q)(2p+7q)
EX4
: x^2+9
PRIME
EX5
: 196m^4-289n^10
(14m^2-17n^5)(14m^2+17n^5)
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review:
multiply- (2x+7)(2x-7)
= 4x^2-49
Difference of Squares
a^2-b^2=(a-b)(a+b)
a^2+b^2= PRIME
EX: factor:
9p^2-25
(3p+5)(3p-5)
EX2: 16x^2-121y^2
(4x-11y)(4x+11y)
EX3: 8p^2-98pq^2
2p(4p^2-49q^2)
2p(2p-7q)(2p+7q)
EX4: x^2+9
PRIME
EX5: 196m^4-289n^10
(14m^2-17n^5)(14m^2+17n^5)