# Divide (-15x^10+25x^7+10x^6)/(5x^3)

-15×10+25×7+10x65x3
Factor 5×6 out of -15×10+25×7+10×6.
Factor 5×6 out of -15×10.
5×6(-3×4)+25×7+10x65x3
Factor 5×6 out of 25×7.
5×6(-3×4)+5×6(5x)+10x65x3
Factor 5×6 out of 10×6.
5×6(-3×4)+5×6(5x)+5×6(2)5×3
Factor 5×6 out of 5×6(-3×4)+5×6(5x).
5×6(-3×4+5x)+5×6(2)5×3
Factor 5×6 out of 5×6(-3×4+5x)+5×6(2).
5×6(-3×4+5x+2)5×3
5×6(-3×4+5x+2)5×3
Cancel the common factor of 5.
Cancel the common factor.
5×6(-3×4+5x+2)5×3
Rewrite the expression.
x6(-3×4+5x+2)x3
x6(-3×4+5x+2)x3
Cancel the common factor of x6 and x3.
Factor x3 out of x6(-3×4+5x+2).
x3(x3(-3×4+5x+2))x3
Cancel the common factors.
Multiply by 1.
x3(x3(-3×4+5x+2))x3⋅1
Cancel the common factor.
x3(x3(-3×4+5x+2))x3⋅1
Rewrite the expression.
x3(-3×4+5x+2)1
Divide x3(-3×4+5x+2) by 1.
x3(-3×4+5x+2)
x3(-3×4+5x+2)
x3(-3×4+5x+2)
Apply the distributive property.
x3(-3×4)+x3(5x)+x3⋅2
Simplify.
Rewrite using the commutative property of multiplication.
-3x3x4+x3(5x)+x3⋅2
Rewrite using the commutative property of multiplication.
-3x3x4+5x3x+x3⋅2
Move 2 to the left of x3.
-3x3x4+5x3x+2⋅x3
-3x3x4+5x3x+2⋅x3
Simplify each term.
Multiply x3 by x4 by adding the exponents.
Move x4.
-3(x4x3)+5x3x+2⋅x3
Use the power rule aman=am+n to combine exponents.
-3×4+3+5x3x+2⋅x3
-3×7+5x3x+2⋅x3
-3×7+5x3x+2⋅x3
Multiply x3 by x by adding the exponents.
Move x.
-3×7+5(x⋅x3)+2⋅x3
Multiply x by x3.
Raise x to the power of 1.
-3×7+5(x1x3)+2⋅x3
Use the power rule aman=am+n to combine exponents.
-3×7+5×1+3+2⋅x3
-3×7+5×1+3+2⋅x3