-15×10+25×7+10x65x3

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.

5×6(-3×4+5x+2)5×3

Rewrite the expression.

x6(-3×4+5x+2)x3

x6(-3×4+5x+2)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

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

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

Add 4 and 3.

-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

Add 1 and 3.

-3×7+5×4+2⋅x3

-3×7+5×4+2×3

-3×7+5×4+2×3

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