Simplify (-11y+3)(-10y^2-7y-9)

Math
(-11y+3)(-10y2-7y-9)
Expand (-11y+3)(-10y2-7y-9) by multiplying each term in the first expression by each term in the second expression.
-11y(-10y2)-11y(-7y)-11y⋅-9+3(-10y2)+3(-7y)+3⋅-9
Simplify terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
-11⋅-10(y⋅y2)-11y(-7y)-11y⋅-9+3(-10y2)+3(-7y)+3⋅-9
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.
-11⋅-10(y1y2)-11y(-7y)-11y⋅-9+3(-10y2)+3(-7y)+3⋅-9
Use the power rule aman=am+n to combine exponents.
-11⋅-10y1+2-11y(-7y)-11y⋅-9+3(-10y2)+3(-7y)+3⋅-9
-11⋅-10y1+2-11y(-7y)-11y⋅-9+3(-10y2)+3(-7y)+3⋅-9
Add 1 and 2.
-11⋅-10y3-11y(-7y)-11y⋅-9+3(-10y2)+3(-7y)+3⋅-9
-11⋅-10y3-11y(-7y)-11y⋅-9+3(-10y2)+3(-7y)+3⋅-9
Multiply -11 by -10.
110y3-11y(-7y)-11y⋅-9+3(-10y2)+3(-7y)+3⋅-9
Multiply y by y.
110y3-11⋅-7y2-11y⋅-9+3(-10y2)+3(-7y)+3⋅-9
Multiply -11 by -7.
110y3+77y2-11y⋅-9+3(-10y2)+3(-7y)+3⋅-9
Multiply -9 by -11.
110y3+77y2+99y+3(-10y2)+3(-7y)+3⋅-9
Multiply -10 by 3.
110y3+77y2+99y-30y2+3(-7y)+3⋅-9
Multiply -7 by 3.
110y3+77y2+99y-30y2-21y+3⋅-9
Multiply 3 by -9.
110y3+77y2+99y-30y2-21y-27
110y3+77y2+99y-30y2-21y-27
Simplify by adding terms.
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Subtract 30y2 from 77y2.
110y3+47y2+99y-21y-27
Subtract 21y from 99y.
110y3+47y2+78y-27
110y3+47y2+78y-27
110y3+47y2+78y-27
Simplify (-11y+3)(-10y^2-7y-9)

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