Simplify (1/3*(t-(B-y))/t)*(1/3t-1/3*(B-y))

Math
(13⋅t-(B-y)t)⋅(13t-13⋅(B-y))
Simplify the numerator.
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Apply the distributive property.
13⋅t-B–yt⋅(13t-13⋅(B-y))
Multiply –y.
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Multiply -1 by -1.
13⋅t-B+1yt⋅(13t-13⋅(B-y))
Multiply y by 1.
13⋅t-B+yt⋅(13t-13⋅(B-y))
13⋅t-B+yt⋅(13t-13⋅(B-y))
13⋅t-B+yt⋅(13t-13⋅(B-y))
Simplify terms.
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Multiply 13 and t-B+yt.
t-B+y3t⋅(13t-13⋅(B-y))
Simplify each term.
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Combine 13 and t.
t-B+y3t⋅(t3-13⋅(B-y))
Apply the distributive property.
t-B+y3t⋅(t3-13B-13(-y))
Combine B and 13.
t-B+y3t⋅(t3-B3-13(-y))
Multiply -13(-y).
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Multiply -1 by -1.
t-B+y3t⋅(t3-B3+1(13)y)
Multiply 13 by 1.
t-B+y3t⋅(t3-B3+13y)
Combine 13 and y.
t-B+y3t⋅(t3-B3+y3)
t-B+y3t⋅(t3-B3+y3)
t-B+y3t⋅(t3-B3+y3)
Multiply t-B+y3t and t3-B3+y3.
(t-B+y)(t3-B3+y3)3t
(t-B+y)(t3-B3+y3)3t
Simplify the numerator.
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Combine the numerators over the common denominator.
(t-B+y)(t-B3+y3)3t
Combine the numerators over the common denominator.
(t-B+y)t-B+y33t
(t-B+y)t-B+y33t
Factor t-B+y3 out of (t-B+y)t-B+y33t.
t-B+y3⋅t-B+y3t
Multiply t-B+y3⋅t-B+y3t.
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Multiply t-B+y3 and t-B+y3t.
(t-B+y)(t-B+y)3(3t)
Raise t-B+y to the power of 1.
(t-B+y)1(t-B+y)3(3t)
Raise t-B+y to the power of 1.
(t-B+y)1(t-B+y)13(3t)
Use the power rule aman=am+n to combine exponents.
(t-B+y)1+13(3t)
Add 1 and 1.
(t-B+y)23(3t)
Multiply 3 by 3.
(t-B+y)29t
(t-B+y)29t
Simplify (1/3*(t-(B-y))/t)*(1/3t-1/3*(B-y))

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