# Factor (4+a)/(a-3)+4/5 4+aa-3+45
To write 4+aa-3 as a fraction with a common denominator, multiply by 55.
4+aa-3⋅55+45
To write 45 as a fraction with a common denominator, multiply by a-3a-3.
4+aa-3⋅55+45⋅a-3a-3
Write each expression with a common denominator of (a-3)⋅5, by multiplying each by an appropriate factor of 1.
Multiply 4+aa-3 and 55.
(4+a)⋅5(a-3)⋅5+45⋅a-3a-3
Multiply 45 and a-3a-3.
(4+a)⋅5(a-3)⋅5+4(a-3)5(a-3)
Reorder the factors of (a-3)⋅5.
(4+a)⋅55(a-3)+4(a-3)5(a-3)
(4+a)⋅55(a-3)+4(a-3)5(a-3)
Combine the numerators over the common denominator.
(4+a)⋅5+4(a-3)5(a-3)
Rewrite (4+a)⋅5+4(a-3)5(a-3) in a factored form.
Apply the distributive property.
4⋅5+a⋅5+4(a-3)5(a-3)
Multiply 4 by 5.
20+a⋅5+4(a-3)5(a-3)
Move 5 to the left of a.
20+5a+4(a-3)5(a-3)
Apply the distributive property.
20+5a+4a+4⋅-35(a-3)
Multiply 4 by -3.
20+5a+4a-125(a-3)
Subtract 12 from 20.
5a+4a+85(a-3)
Add 5a and 4a.
9a+85(a-3)
9a+85(a-3)
Factor (4+a)/(a-3)+4/5

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