# Simplify (3a-2y)^2

(3a-2y)2
Rewrite (3a-2y)2 as (3a-2y)(3a-2y).
(3a-2y)(3a-2y)
Expand (3a-2y)(3a-2y) using the FOIL Method.
Apply the distributive property.
3a(3a-2y)-2y(3a-2y)
Apply the distributive property.
3a(3a)+3a(-2y)-2y(3a-2y)
Apply the distributive property.
3a(3a)+3a(-2y)-2y(3a)-2y(-2y)
3a(3a)+3a(-2y)-2y(3a)-2y(-2y)
Simplify and combine like terms.
Simplify each term.
Multiply a by a.
3⋅3a2+3a(-2y)-2y(3a)-2y(-2y)
Multiply 3 by 3.
9a2+3a(-2y)-2y(3a)-2y(-2y)
Rewrite using the commutative property of multiplication.
9a2+3⋅-2(ay)-2y(3a)-2y(-2y)
Multiply 3 by -2.
9a2-6(ay)-2y(3a)-2y(-2y)
Rewrite using the commutative property of multiplication.
9a2-6ay-2⋅3(ya)-2y(-2y)
Multiply -2 by 3.
9a2-6ay-6(ya)-2y(-2y)
Multiply y by y.
9a2-6ay-6ya-2⋅-2y2
Multiply -2 by -2.
9a2-6ay-6ya+4y2
9a2-6ay-6ya+4y2
Subtract 6ya from -6ay.
Move y.
9a2-6ay-6ay+4y2
Subtract 6ay from -6ay.
9a2-12ay+4y2
9a2-12ay+4y2
9a2-12ay+4y2
Simplify (3a-2y)^2

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