Simplify (b-5)(b^2-7b+4)

Math
(b-5)(b2-7b+4)
Expand (b-5)(b2-7b+4) by multiplying each term in the first expression by each term in the second expression.
b⋅b2+b(-7b)+b⋅4-5b2-5(-7b)-5⋅4
Simplify terms.
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Simplify each term.
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Multiply b by b2 by adding the exponents.
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Multiply b by b2.
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Raise b to the power of 1.
b1b2+b(-7b)+b⋅4-5b2-5(-7b)-5⋅4
Use the power rule aman=am+n to combine exponents.
b1+2+b(-7b)+b⋅4-5b2-5(-7b)-5⋅4
b1+2+b(-7b)+b⋅4-5b2-5(-7b)-5⋅4
Add 1 and 2.
b3+b(-7b)+b⋅4-5b2-5(-7b)-5⋅4
b3+b(-7b)+b⋅4-5b2-5(-7b)-5⋅4
Rewrite using the commutative property of multiplication.
b3-7b⋅b+b⋅4-5b2-5(-7b)-5⋅4
Multiply b by b by adding the exponents.
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Move b.
b3-7(b⋅b)+b⋅4-5b2-5(-7b)-5⋅4
Multiply b by b.
b3-7b2+b⋅4-5b2-5(-7b)-5⋅4
b3-7b2+b⋅4-5b2-5(-7b)-5⋅4
Move 4 to the left of b.
b3-7b2+4⋅b-5b2-5(-7b)-5⋅4
Multiply -7 by -5.
b3-7b2+4b-5b2+35b-5⋅4
Multiply -5 by 4.
b3-7b2+4b-5b2+35b-20
b3-7b2+4b-5b2+35b-20
Simplify by adding terms.
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Subtract 5b2 from -7b2.
b3-12b2+4b+35b-20
Add 4b and 35b.
b3-12b2+39b-20
b3-12b2+39b-20
b3-12b2+39b-20
Simplify (b-5)(b^2-7b+4)

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