Simplify (9b^3-10b^2+2)*(7b^2)

Math
(9b3-10b2+2)⋅(7b2)
Apply the distributive property.
9b3(7b2)-10b2(7b2)+2(7b2)
Simplify.
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Rewrite using the commutative property of multiplication.
9⋅7(b3b2)-10b2(7b2)+2(7b2)
Rewrite using the commutative property of multiplication.
9⋅7(b3b2)-10⋅7(b2b2)+2(7b2)
Multiply 7 by 2.
9⋅7(b3b2)-10⋅7(b2b2)+14b2
9⋅7(b3b2)-10⋅7(b2b2)+14b2
Simplify each term.
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Multiply b3 by b2 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
9⋅7b3+2-10⋅7(b2b2)+14b2
Add 3 and 2.
9⋅7b5-10⋅7(b2b2)+14b2
9⋅7b5-10⋅7(b2b2)+14b2
Multiply 9 by 7.
63b5-10⋅7(b2b2)+14b2
Multiply b2 by b2 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
63b5-10⋅7b2+2+14b2
Add 2 and 2.
63b5-10⋅7b4+14b2
63b5-10⋅7b4+14b2
Multiply -10 by 7.
63b5-70b4+14b2
63b5-70b4+14b2
Simplify (9b^3-10b^2+2)*(7b^2)

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