Simplify (4y^2-3y-2)(y+12)

Math
(4y2-3y-2)(y+12)
Expand (4y2-3y-2)(y+12) by multiplying each term in the first expression by each term in the second expression.
4y2y+4y2⋅12-3y⋅y-3y⋅12-2y-2⋅12
Simplify terms.
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Simplify each term.
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Multiply y2 by y by adding the exponents.
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Move y.
4(y⋅y2)+4y2⋅12-3y⋅y-3y⋅12-2y-2⋅12
Multiply y by y2.
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Raise y to the power of 1.
4(y1y2)+4y2⋅12-3y⋅y-3y⋅12-2y-2⋅12
Use the power rule aman=am+n to combine exponents.
4y1+2+4y2⋅12-3y⋅y-3y⋅12-2y-2⋅12
4y1+2+4y2⋅12-3y⋅y-3y⋅12-2y-2⋅12
Add 1 and 2.
4y3+4y2⋅12-3y⋅y-3y⋅12-2y-2⋅12
4y3+4y2⋅12-3y⋅y-3y⋅12-2y-2⋅12
Multiply 12 by 4.
4y3+48y2-3y⋅y-3y⋅12-2y-2⋅12
Multiply y by y by adding the exponents.
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Move y.
4y3+48y2-3(y⋅y)-3y⋅12-2y-2⋅12
Multiply y by y.
4y3+48y2-3y2-3y⋅12-2y-2⋅12
4y3+48y2-3y2-3y⋅12-2y-2⋅12
Multiply 12 by -3.
4y3+48y2-3y2-36y-2y-2⋅12
Multiply -2 by 12.
4y3+48y2-3y2-36y-2y-24
4y3+48y2-3y2-36y-2y-24
Simplify by adding terms.
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Subtract 3y2 from 48y2.
4y3+45y2-36y-2y-24
Subtract 2y from -36y.
4y3+45y2-38y-24
4y3+45y2-38y-24
4y3+45y2-38y-24
Simplify (4y^2-3y-2)(y+12)

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