Simplify (b-8)(5b-2)

Math
(b-8)(5b-2)
Expand (b-8)(5b-2) using the FOIL Method.
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Apply the distributive property.
b(5b-2)-8(5b-2)
Apply the distributive property.
b(5b)+b⋅-2-8(5b-2)
Apply the distributive property.
b(5b)+b⋅-2-8(5b)-8⋅-2
b(5b)+b⋅-2-8(5b)-8⋅-2
Simplify and combine like terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
5b⋅b+b⋅-2-8(5b)-8⋅-2
Multiply b by b by adding the exponents.
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Move b.
5(b⋅b)+b⋅-2-8(5b)-8⋅-2
Multiply b by b.
5b2+b⋅-2-8(5b)-8⋅-2
5b2+b⋅-2-8(5b)-8⋅-2
Move -2 to the left of b.
5b2-2⋅b-8(5b)-8⋅-2
Multiply 5 by -8.
5b2-2b-40b-8⋅-2
Multiply -8 by -2.
5b2-2b-40b+16
5b2-2b-40b+16
Subtract 40b from -2b.
5b2-42b+16
5b2-42b+16
Simplify (b-8)(5b-2)

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