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

Math
(y-6)(y2-5y+3)
Expand (y-6)(y2-5y+3) by multiplying each term in the first expression by each term in the second expression.
y⋅y2+y(-5y)+y⋅3-6y2-6(-5y)-6⋅3
Simplify terms.
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Simplify each term.
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Multiply y by y2 by adding the exponents.
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Multiply y by y2.
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Raise y to the power of 1.
y1y2+y(-5y)+y⋅3-6y2-6(-5y)-6⋅3
Use the power rule aman=am+n to combine exponents.
y1+2+y(-5y)+y⋅3-6y2-6(-5y)-6⋅3
y1+2+y(-5y)+y⋅3-6y2-6(-5y)-6⋅3
Add 1 and 2.
y3+y(-5y)+y⋅3-6y2-6(-5y)-6⋅3
y3+y(-5y)+y⋅3-6y2-6(-5y)-6⋅3
Rewrite using the commutative property of multiplication.
y3-5y⋅y+y⋅3-6y2-6(-5y)-6⋅3
Multiply y by y by adding the exponents.
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Move y.
y3-5(y⋅y)+y⋅3-6y2-6(-5y)-6⋅3
Multiply y by y.
y3-5y2+y⋅3-6y2-6(-5y)-6⋅3
y3-5y2+y⋅3-6y2-6(-5y)-6⋅3
Move 3 to the left of y.
y3-5y2+3⋅y-6y2-6(-5y)-6⋅3
Multiply -5 by -6.
y3-5y2+3y-6y2+30y-6⋅3
Multiply -6 by 3.
y3-5y2+3y-6y2+30y-18
y3-5y2+3y-6y2+30y-18
Simplify by adding terms.
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Subtract 6y2 from -5y2.
y3-11y2+3y+30y-18
Add 3y and 30y.
y3-11y2+33y-18
y3-11y2+33y-18
y3-11y2+33y-18
Simplify (y-6)(y^2-5y+3)

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