Simplify (-6y^4+5y^2+3y)(y+4)

Math
(-6y4+5y2+3y)(y+4)
Expand (-6y4+5y2+3y)(y+4) by multiplying each term in the first expression by each term in the second expression.
-6y4y-6y4⋅4+5y2y+5y2⋅4+3y⋅y+3y⋅4
Simplify terms.
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Simplify each term.
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Multiply y4 by y by adding the exponents.
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Move y.
-6(y⋅y4)-6y4⋅4+5y2y+5y2⋅4+3y⋅y+3y⋅4
Multiply y by y4.
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Raise y to the power of 1.
-6(y1y4)-6y4⋅4+5y2y+5y2⋅4+3y⋅y+3y⋅4
Use the power rule aman=am+n to combine exponents.
-6y1+4-6y4⋅4+5y2y+5y2⋅4+3y⋅y+3y⋅4
-6y1+4-6y4⋅4+5y2y+5y2⋅4+3y⋅y+3y⋅4
Add 1 and 4.
-6y5-6y4⋅4+5y2y+5y2⋅4+3y⋅y+3y⋅4
-6y5-6y4⋅4+5y2y+5y2⋅4+3y⋅y+3y⋅4
Multiply 4 by -6.
-6y5-24y4+5y2y+5y2⋅4+3y⋅y+3y⋅4
Multiply y2 by y by adding the exponents.
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Move y.
-6y5-24y4+5(y⋅y2)+5y2⋅4+3y⋅y+3y⋅4
Multiply y by y2.
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Raise y to the power of 1.
-6y5-24y4+5(y1y2)+5y2⋅4+3y⋅y+3y⋅4
Use the power rule aman=am+n to combine exponents.
-6y5-24y4+5y1+2+5y2⋅4+3y⋅y+3y⋅4
-6y5-24y4+5y1+2+5y2⋅4+3y⋅y+3y⋅4
Add 1 and 2.
-6y5-24y4+5y3+5y2⋅4+3y⋅y+3y⋅4
-6y5-24y4+5y3+5y2⋅4+3y⋅y+3y⋅4
Multiply 4 by 5.
-6y5-24y4+5y3+20y2+3y⋅y+3y⋅4
Multiply y by y by adding the exponents.
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Move y.
-6y5-24y4+5y3+20y2+3(y⋅y)+3y⋅4
Multiply y by y.
-6y5-24y4+5y3+20y2+3y2+3y⋅4
-6y5-24y4+5y3+20y2+3y2+3y⋅4
Multiply 4 by 3.
-6y5-24y4+5y3+20y2+3y2+12y
-6y5-24y4+5y3+20y2+3y2+12y
Add 20y2 and 3y2.
-6y5-24y4+5y3+23y2+12y
-6y5-24y4+5y3+23y2+12y
Simplify (-6y^4+5y^2+3y)(y+4)

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