Simplify (4t-5)(t^3+4t^2)

Math
(4t-5)(t3+4t2)
Expand (4t-5)(t3+4t2) using the FOIL Method.
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Apply the distributive property.
4t(t3+4t2)-5(t3+4t2)
Apply the distributive property.
4t⋅t3+4t(4t2)-5(t3+4t2)
Apply the distributive property.
4t⋅t3+4t(4t2)-5t3-5(4t2)
4t⋅t3+4t(4t2)-5t3-5(4t2)
Simplify and combine like terms.
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Simplify each term.
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Multiply t by t3 by adding the exponents.
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Move t3.
4(t3t)+4t(4t2)-5t3-5(4t2)
Multiply t3 by t.
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Raise t to the power of 1.
4(t3t1)+4t(4t2)-5t3-5(4t2)
Use the power rule aman=am+n to combine exponents.
4t3+1+4t(4t2)-5t3-5(4t2)
4t3+1+4t(4t2)-5t3-5(4t2)
Add 3 and 1.
4t4+4t(4t2)-5t3-5(4t2)
4t4+4t(4t2)-5t3-5(4t2)
Rewrite using the commutative property of multiplication.
4t4+4⋅4(t⋅t2)-5t3-5(4t2)
Multiply t by t2 by adding the exponents.
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Multiply t by t2.
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Raise t to the power of 1.
4t4+4⋅4(t1t2)-5t3-5(4t2)
Use the power rule aman=am+n to combine exponents.
4t4+4⋅4t1+2-5t3-5(4t2)
4t4+4⋅4t1+2-5t3-5(4t2)
Add 1 and 2.
4t4+4⋅4t3-5t3-5(4t2)
4t4+4⋅4t3-5t3-5(4t2)
Multiply 4 by 4.
4t4+16t3-5t3-5(4t2)
Multiply 4 by -5.
4t4+16t3-5t3-20t2
4t4+16t3-5t3-20t2
Subtract 5t3 from 16t3.
4t4+11t3-20t2
4t4+11t3-20t2
Simplify (4t-5)(t^3+4t^2)

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