Using Structure to Rewrite Expressions
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
Rewrite by factoring out the greatest common factor:
15
y
2
+
20
y
15y^2+20y
15
y
2
+
20
y
.
QUESTION
Factor completely using structure:
x
2
+
14
x
+
49
x^2+14x+49
x
2
+
14
x
+
49
.
QUESTION
Factor using sum of cubes:
8
y
3
+
125
8y^3+125
8
y
3
+
125
.
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ANSWER
(
2
y
+
5
)
(
4
y
2
−
10
y
+
25
)
(2y+5)(4y^2-10y+25)
(
2
y
+
5
)
(
4
y
2
−
10
y
+
25
)
. Recognizes
(
2
y
)
3
+
5
3
(2y)^3+5^3
(
2
y
)
3
+
5
3
as a sum of cubes.
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