# Factor 3/4+1/4*(3 3/4+1/4)^2

34+14⋅(334+14)2
Convert 334 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
34+14⋅(3+34+14)2
Add 3 and 34.
To write 3 as a fraction with a common denominator, multiply by 44.
34+14⋅(3⋅44+34+14)2
Combine 3 and 44.
34+14⋅(3⋅44+34+14)2
Combine the numerators over the common denominator.
34+14⋅(3⋅4+34+14)2
Simplify the numerator.
Multiply 3 by 4.
34+14⋅(12+34+14)2
Add 12 and 3.
34+14⋅(154+14)2
34+14⋅(154+14)2
34+14⋅(154+14)2
34+14⋅(154+14)2
Combine the numerators over the common denominator.
34+14⋅(15+14)2
Add 15 and 1.
34+14⋅(164)2
Divide 16 by 4.
34+14⋅42
Raise 4 to the power of 2.
34+14⋅16
Cancel the common factor of 4.
Factor 4 out of 16.
34+14⋅(4(4))
Cancel the common factor.
34+14⋅(4⋅4)
Rewrite the expression.
34+4
34+4
To write 4 as a fraction with a common denominator, multiply by 44.
34+4⋅44
Combine 4 and 44.
34+4⋅44
Combine the numerators over the common denominator.
3+4⋅44
Simplify the numerator.
Multiply 4 by 4.
3+164
Add 3 and 16.
194
194
Factor 3/4+1/4*(3 3/4+1/4)^2

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