# Simplify (12z^2-6/5+4/3*(zy))-(3zy+2y^2)

(12z2-65+43⋅(zy))-(3zy+2y2)
Simplify each term.
Multiply 43(zy).
Combine z and 43.
12z2-65+z⋅43y-(3zy+2y2)
Combine z⋅43 and y.
12z2-65+z⋅4y3-(3zy+2y2)
12z2-65+z⋅4y3-(3zy+2y2)
Move 4 to the left of z.
12z2-65+4⋅zy3-(3zy+2y2)
Apply the distributive property.
12z2-65+4zy3-(3zy)-(2y2)
Multiply 3 by -1.
12z2-65+4zy3-3(zy)-(2y2)
Multiply 2 by -1.
12z2-65+4zy3-3zy-2y2
12z2-65+4zy3-3zy-2y2
To write -3zy as a fraction with a common denominator, multiply by 33.
12z2-65+4zy3-3zy⋅33-2y2
Simplify terms.
Combine -3zy and 33.
12z2-65+4zy3+-3zy⋅33-2y2
Combine the numerators over the common denominator.
12z2-65+4zy-3zy⋅33-2y2
12z2-65+4zy-3zy⋅33-2y2
Simplify each term.
Simplify the numerator.
Factor zy out of 4zy-3zy⋅3.
Factor zy out of 4zy.
12z2-65+zy(4)-3zy⋅33-2y2
Factor zy out of -3zy⋅3.
12z2-65+zy(4)+zy(-3⋅3)3-2y2
Factor zy out of zy(4)+zy(-3⋅3).
12z2-65+zy(4-3⋅3)3-2y2
12z2-65+zy(4-3⋅3)3-2y2
Multiply -3 by 3.
12z2-65+zy(4-9)3-2y2
Subtract 9 from 4.
12z2-65+zy⋅-53-2y2
12z2-65+zy⋅-53-2y2
Move -5 to the left of zy.
12z2-65+-5⋅(zy)3-2y2
Move the negative in front of the fraction.
12z2-65-5zy3-2y2
12z2-65-5zy3-2y2
Simplify the expression.
Move z.
12z2-65-5yz3-2y2
Move -65.
12z2-5yz3-2y2-65
Move 12z2.
-5yz3-2y2+12z2-65
Reorder -5yz3 and -2y2.
-2y2-5yz3+12z2-65
-2y2-5yz3+12z2-65
Simplify (12z^2-6/5+4/3*(zy))-(3zy+2y^2)

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