3abc+2bac
To write 3abc as a fraction with a common denominator, multiply by aa.
3abc⋅aa+2bac
To write 2bac as a fraction with a common denominator, multiply by bb.
3abc⋅aa+2bac⋅bb
Write each expression with a common denominator of bca, by multiplying each by an appropriate factor of 1.
Multiply 3abc and aa.
3a⋅abca+2bac⋅bb
Multiply 2bac and bb.
3a⋅abca+2b⋅bacb
Reorder the factors of bca.
3a⋅aabc+2b⋅bacb
Reorder the factors of acb.
3a⋅aabc+2b⋅babc
3a⋅aabc+2b⋅babc
Combine the numerators over the common denominator.
3a⋅a+2b⋅babc
Simplify the numerator.
Multiply a by a by adding the exponents.
Move a.
3(a⋅a)+2b⋅babc
Multiply a by a.
3a2+2b⋅babc
3a2+2b⋅babc
Multiply b by b by adding the exponents.
Move b.
3a2+2(b⋅b)abc
Multiply b by b.
3a2+2b2abc
3a2+2b2abc
3a2+2b2abc