Simplify (5m^2+40m+60)(2m-8)

Math
(5m2+40m+60)(2m-8)
Expand (5m2+40m+60)(2m-8) by multiplying each term in the first expression by each term in the second expression.
5m2(2m)+5m2⋅-8+40m(2m)+40m⋅-8+60(2m)+60⋅-8
Simplify terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
5⋅2(m2m)+5m2⋅-8+40m(2m)+40m⋅-8+60(2m)+60⋅-8
Multiply m2 by m by adding the exponents.
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Multiply m2 by m.
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Raise m to the power of 1.
5⋅2(m2m1)+5m2⋅-8+40m(2m)+40m⋅-8+60(2m)+60⋅-8
Use the power rule aman=am+n to combine exponents.
5⋅2m2+1+5m2⋅-8+40m(2m)+40m⋅-8+60(2m)+60⋅-8
5⋅2m2+1+5m2⋅-8+40m(2m)+40m⋅-8+60(2m)+60⋅-8
Add 2 and 1.
5⋅2m3+5m2⋅-8+40m(2m)+40m⋅-8+60(2m)+60⋅-8
5⋅2m3+5m2⋅-8+40m(2m)+40m⋅-8+60(2m)+60⋅-8
Multiply 5 by 2.
10m3+5m2⋅-8+40m(2m)+40m⋅-8+60(2m)+60⋅-8
Multiply -8 by 5.
10m3-40m2+40m(2m)+40m⋅-8+60(2m)+60⋅-8
Multiply m by m.
10m3-40m2+40⋅2m2+40m⋅-8+60(2m)+60⋅-8
Multiply 40 by 2.
10m3-40m2+80m2+40m⋅-8+60(2m)+60⋅-8
Multiply -8 by 40.
10m3-40m2+80m2-320m+60(2m)+60⋅-8
Multiply 2 by 60.
10m3-40m2+80m2-320m+120m+60⋅-8
Multiply 60 by -8.
10m3-40m2+80m2-320m+120m-480
10m3-40m2+80m2-320m+120m-480
Simplify by adding terms.
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Add -40m2 and 80m2.
10m3+40m2-320m+120m-480
Add -320m and 120m.
10m3+40m2-200m-480
10m3+40m2-200m-480
10m3+40m2-200m-480
Simplify (5m^2+40m+60)(2m-8)

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