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

Math
(3y-2)(4y+5)
Expand (3y-2)(4y+5) using the FOIL Method.
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Apply the distributive property.
3y(4y+5)-2(4y+5)
Apply the distributive property.
3y(4y)+3y⋅5-2(4y+5)
Apply the distributive property.
3y(4y)+3y⋅5-2(4y)-2⋅5
3y(4y)+3y⋅5-2(4y)-2⋅5
Simplify and combine like terms.
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Simplify each term.
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Multiply y by y.
3⋅4y2+3y⋅5-2(4y)-2⋅5
Multiply 3 by 4.
12y2+3y⋅5-2(4y)-2⋅5
Multiply 5 by 3.
12y2+15y-2(4y)-2⋅5
Multiply 4 by -2.
12y2+15y-8y-2⋅5
Multiply -2 by 5.
12y2+15y-8y-10
12y2+15y-8y-10
Subtract 8y from 15y.
12y2+7y-10
12y2+7y-10
Simplify (3y-2)(4y+5)

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