Simplify (3x+5y)(4x+3y)

Math
(3x+5y)(4x+3y)
Expand (3x+5y)(4x+3y) using the FOIL Method.
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Apply the distributive property.
3x(4x+3y)+5y(4x+3y)
Apply the distributive property.
3x(4x)+3x(3y)+5y(4x+3y)
Apply the distributive property.
3x(4x)+3x(3y)+5y(4x)+5y(3y)
3x(4x)+3x(3y)+5y(4x)+5y(3y)
Simplify and combine like terms.
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Simplify each term.
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Multiply x by x.
3⋅4×2+3x(3y)+5y(4x)+5y(3y)
Multiply 3 by 4.
12×2+3x(3y)+5y(4x)+5y(3y)
Rewrite using the commutative property of multiplication.
12×2+3⋅3(xy)+5y(4x)+5y(3y)
Multiply 3 by 3.
12×2+9(xy)+5y(4x)+5y(3y)
Rewrite using the commutative property of multiplication.
12×2+9xy+5⋅4(yx)+5y(3y)
Multiply 5 by 4.
12×2+9xy+20(yx)+5y(3y)
Multiply y by y.
12×2+9xy+20yx+5⋅3y2
Multiply 5 by 3.
12×2+9xy+20yx+15y2
12×2+9xy+20yx+15y2
Add 9xy and 20yx.
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Move y.
12×2+9xy+20xy+15y2
Add 9xy and 20xy.
12×2+29xy+15y2
12×2+29xy+15y2
12×2+29xy+15y2
Simplify (3x+5y)(4x+3y)

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