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Algebra Exam 2
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(A+B)
^{2}
A
^{2 }
+ 2AB + B
^{2}
(A-B)
^{2}
A
^{2}
- 2AB +B
^{2}
(A+B)(A-B)
A
^{2}
-B
^{2}
Foil in reverse..
(x+
p
)(x+
q
)
x
^{2 }
+ qx + px + pq
or
x
^{2}
+ (p+q)x + pq
Example
x
^{2}
+
9
x +
8
= (x+p)(x+q) = x
^{2}
+ (
p+q
)x +
pq
We now list pairs of factors of 8 whose sum is 9.
Pairs of factors_ 2, 4..doesnt work because their sum is 8.
Pairs of factors_ 1, 8.. works because their sum is 9.
X
^{2 }
+ 9X + 8 = X
^{2}
+ 1X + 8X + 8
Factoring a difference of two squares
A
^{2 }
- B
^{2}
(A + B)(A - B)
Factoring a sum or difference of two cubes
A
^{3}
+B
^{3 }
^{ }
(A+B)(A
^{2}
- AB + B
^{2}
)
A
^{3}
- B
^{3}
(A - B)(A
^{2}
+ AB + B
^{2}
)
Author
simpso35
ID
45750
Card Set
Algebra Exam 2
Description
5.4-5.8, 6.1-6.8, 7.1-7.3
Updated
2010-10-29T11:59:49Z
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