Simplify (8m+9)(m^2-5m+5)

Math
(8m+9)(m2-5m+5)
Expand (8m+9)(m2-5m+5) by multiplying each term in the first expression by each term in the second expression.
8m⋅m2+8m(-5m)+8m⋅5+9m2+9(-5m)+9⋅5
Simplify terms.
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Simplify each term.
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Multiply m by m2 by adding the exponents.
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Move m2.
8(m2m)+8m(-5m)+8m⋅5+9m2+9(-5m)+9⋅5
Multiply m2 by m.
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Raise m to the power of 1.
8(m2m1)+8m(-5m)+8m⋅5+9m2+9(-5m)+9⋅5
Use the power rule aman=am+n to combine exponents.
8m2+1+8m(-5m)+8m⋅5+9m2+9(-5m)+9⋅5
8m2+1+8m(-5m)+8m⋅5+9m2+9(-5m)+9⋅5
Add 2 and 1.
8m3+8m(-5m)+8m⋅5+9m2+9(-5m)+9⋅5
8m3+8m(-5m)+8m⋅5+9m2+9(-5m)+9⋅5
Multiply m by m.
8m3+8⋅-5m2+8m⋅5+9m2+9(-5m)+9⋅5
Multiply 8 by -5.
8m3-40m2+8m⋅5+9m2+9(-5m)+9⋅5
Multiply 5 by 8.
8m3-40m2+40m+9m2+9(-5m)+9⋅5
Multiply -5 by 9.
8m3-40m2+40m+9m2-45m+9⋅5
Multiply 9 by 5.
8m3-40m2+40m+9m2-45m+45
8m3-40m2+40m+9m2-45m+45
Simplify by adding terms.
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Add -40m2 and 9m2.
8m3-31m2+40m-45m+45
Subtract 45m from 40m.
8m3-31m2-5m+45
8m3-31m2-5m+45
8m3-31m2-5m+45
Simplify (8m+9)(m^2-5m+5)

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