Simplify (-8m-6)(m^3-m+7)

Math
(-8m-6)(m3-m+7)
Expand (-8m-6)(m3-m+7) by multiplying each term in the first expression by each term in the second expression.
-8m⋅m3-8m(-m)-8m⋅7-6m3-6(-m)-6⋅7
Simplify terms.
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Simplify each term.
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Multiply m by m3 by adding the exponents.
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Move m3.
-8(m3m)-8m(-m)-8m⋅7-6m3-6(-m)-6⋅7
Multiply m3 by m.
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Raise m to the power of 1.
-8(m3m1)-8m(-m)-8m⋅7-6m3-6(-m)-6⋅7
Use the power rule aman=am+n to combine exponents.
-8m3+1-8m(-m)-8m⋅7-6m3-6(-m)-6⋅7
-8m3+1-8m(-m)-8m⋅7-6m3-6(-m)-6⋅7
Add 3 and 1.
-8m4-8m(-m)-8m⋅7-6m3-6(-m)-6⋅7
-8m4-8m(-m)-8m⋅7-6m3-6(-m)-6⋅7
Multiply m by m.
-8m4-8⋅-1m2-8m⋅7-6m3-6(-m)-6⋅7
Multiply -8 by -1.
-8m4+8m2-8m⋅7-6m3-6(-m)-6⋅7
Multiply 7 by -8.
-8m4+8m2-56m-6m3-6(-m)-6⋅7
Multiply -1 by -6.
-8m4+8m2-56m-6m3+6m-6⋅7
Multiply -6 by 7.
-8m4+8m2-56m-6m3+6m-42
-8m4+8m2-56m-6m3+6m-42
Simplify by adding terms.
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Add -56m and 6m.
-8m4+8m2-6m3-50m-42
Move 8m2.
-8m4-6m3+8m2-50m-42
-8m4-6m3+8m2-50m-42
-8m4-6m3+8m2-50m-42
Simplify (-8m-6)(m^3-m+7)

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