Factor 15a^2b-25a^3b^2+5a^2b^3

Math
15a2b-25a3b2+5a2b3
Factor -5a2b out of 15a2b-25a3b2+5a2b3.
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Move 15a2b.
-25a3b2+5a2b3+15a2b
Factor -5a2b out of -25a3b2.
-5a2b(5ab)+5a2b3+15a2b
Factor -5a2b out of 5a2b3.
-5a2b(5ab)-5a2b(-1b2)+15a2b
Factor -5a2b out of 15a2b.
-5a2b(5ab)-5a2b(-1b2)-5a2b(-3)
Factor -5a2b out of -5a2b(5ab)-5a2b(-1b2).
-5a2b(5ab-1b2)-5a2b(-3)
Factor -5a2b out of -5a2b(5ab-1b2)-5a2b(-3).
-5a2b(5ab-1b2-3)
-5a2b(5ab-1b2-3)
Rewrite -1b2 as -b2.
-5a2b(5ab-b2-3)
Add parentheses.
-5a2b(5(ab)-b2-3)
Let u=ab. Substitute u for all occurrences of ab.
-5a2b(5u-b2-3)
Factor -1 out of 5u-b2-3.
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Reorder 5u and -b2.
-5a2b(-b2+5u-3)
Factor -1 out of -b2.
-5a2b(-(b2)+5u-3)
Factor -1 out of 5u.
-5a2b(-(b2)-(-5u)-3)
Rewrite -3 as -1(3).
-5a2b(-(b2)-(-5u)-1(3))
Factor -1 out of -(b2)-(-5u).
-5a2b(-(b2-5u)-1(3))
Factor -1 out of -(b2-5u)-1(3).
-5a2b(-(b2-5u+3))
-5a2b(-(b2-5u+3))
Replace all occurrences of u with ab.
-5a2b(-(b2-5(ab)+3))
Factor.
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Remove parentheses.
-5a2b(-(b2-5ab+3))
Remove unnecessary parentheses.
-5a2b⋅-1(b2-5ab+3)
-5a2b⋅-1(b2-5ab+3)
Combine exponents.
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Factor out negative.
-(-5a2b(b2-5ab+3))
Multiply -5 by -1.
5(a2b(b2-5ab+3))
5(a2b(b2-5ab+3))
Remove unnecessary parentheses.
5a2b(b2-5ab+3)
Factor 15a^2b-25a^3b^2+5a^2b^3

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