Factor 3/7-matri*(-7/3-6/7)

Math
37-matri⋅(-73-67)
To write -73 as a fraction with a common denominator, multiply by 77.
37-matri⋅(-73⋅77-67)
To write -67 as a fraction with a common denominator, multiply by 33.
37-matri⋅(-73⋅77-67⋅33)
Write each expression with a common denominator of 21, by multiplying each by an appropriate factor of 1.
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Multiply 73 and 77.
37-matri⋅(-7⋅73⋅7-67⋅33)
Multiply 3 by 7.
37-matri⋅(-7⋅721-67⋅33)
Multiply 67 and 33.
37-matri⋅(-7⋅721-6⋅37⋅3)
Multiply 7 by 3.
37-matri⋅(-7⋅721-6⋅321)
37-matri⋅(-7⋅721-6⋅321)
Combine the numerators over the common denominator.
37-matri⋅-7⋅7-6⋅321
Simplify the numerator.
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Multiply -7 by 7.
37-matri⋅-49-6⋅321
Multiply -6 by 3.
37-matri⋅-49-1821
Subtract 18 from -49.
37-matri⋅-6721
37-matri⋅-6721
Move the negative in front of the fraction.
37-matri(-6721)
Multiply -matri(-6721).
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Multiply -1 by -1.
37+1matri6721
Multiply m by 1.
37+matri6721
Combine m and 6721.
37+atrim⋅6721
Combine a and m⋅6721.
37+tria(m⋅67)21
Combine t and a(m⋅67)21.
37+rit(a(m⋅67))21
Combine t(a(m⋅67))21 and r.
37+t(a(m⋅67))r21i
Combine t(a(m⋅67))r21 and i.
37+t(a(m⋅67))ri21
37+t(a(m⋅67))ri21
Remove parentheses.
37+t(am⋅67)ri21
Remove parentheses.
37+t(am)⋅67ri21
Remove parentheses.
37+tam⋅67ri21
Move 67 to the left of tam.
37+67⋅(tam)ri21
Remove parentheses.
37+67⋅(ta)mri21
Remove parentheses.
37+67⋅tamri21
Multiply 67 by t.
37+67tamri21
Factor 3/7-matri*(-7/3-6/7)

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