Divide (12v^7-15v^5)/(3v^3)

Math
12v7-15v53v3
Factor 3v5 out of 12v7-15v5.
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Factor 3v5 out of 12v7.
3v5(4v2)-15v53v3
Factor 3v5 out of -15v5.
3v5(4v2)+3v5(-5)3v3
Factor 3v5 out of 3v5(4v2)+3v5(-5).
3v5(4v2-5)3v3
3v5(4v2-5)3v3
Cancel the common factor of 3.
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Cancel the common factor.
3v5(4v2-5)3v3
Rewrite the expression.
v5(4v2-5)v3
v5(4v2-5)v3
Cancel the common factor of v5 and v3.
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Factor v3 out of v5(4v2-5).
v3(v2(4v2-5))v3
Cancel the common factors.
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Multiply by 1.
v3(v2(4v2-5))v3⋅1
Cancel the common factor.
v3(v2(4v2-5))v3⋅1
Rewrite the expression.
v2(4v2-5)1
Divide v2(4v2-5) by 1.
v2(4v2-5)
v2(4v2-5)
v2(4v2-5)
Apply the distributive property.
v2(4v2)+v2⋅-5
Rewrite using the commutative property of multiplication.
4v2v2+v2⋅-5
Move -5 to the left of v2.
4v2v2-5⋅v2
Multiply v2 by v2 by adding the exponents.
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Move v2.
4(v2v2)-5⋅v2
Use the power rule aman=am+n to combine exponents.
4v2+2-5⋅v2
Add 2 and 2.
4v4-5⋅v2
4v4-5v2
Divide (12v^7-15v^5)/(3v^3)

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