Simplify (3y-8v)^2

Math
(3y-8v)2
Rewrite (3y-8v)2 as (3y-8v)(3y-8v).
(3y-8v)(3y-8v)
Expand (3y-8v)(3y-8v) using the FOIL Method.
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Apply the distributive property.
3y(3y-8v)-8v(3y-8v)
Apply the distributive property.
3y(3y)+3y(-8v)-8v(3y-8v)
Apply the distributive property.
3y(3y)+3y(-8v)-8v(3y)-8v(-8v)
3y(3y)+3y(-8v)-8v(3y)-8v(-8v)
Simplify and combine like terms.
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Simplify each term.
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Multiply y by y.
3⋅3y2+3y(-8v)-8v(3y)-8v(-8v)
Multiply 3 by 3.
9y2+3y(-8v)-8v(3y)-8v(-8v)
Rewrite using the commutative property of multiplication.
9y2+3⋅-8(yv)-8v(3y)-8v(-8v)
Multiply 3 by -8.
9y2-24(yv)-8v(3y)-8v(-8v)
Rewrite using the commutative property of multiplication.
9y2-24yv-8⋅3(vy)-8v(-8v)
Multiply -8 by 3.
9y2-24yv-24(vy)-8v(-8v)
Multiply v by v.
9y2-24yv-24vy-8⋅-8v2
Multiply -8 by -8.
9y2-24yv-24vy+64v2
9y2-24yv-24vy+64v2
Subtract 24vy from -24yv.
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Move y.
9y2-24vy-24vy+64v2
Subtract 24vy from -24vy.
9y2-48vy+64v2
9y2-48vy+64v2
9y2-48vy+64v2
Move 9y2.
-48vy+64v2+9y2
Reorder -48vy and 64v2.
64v2-48vy+9y2
Simplify (3y-8v)^2

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