# Evaluate (1/3+3/6)^2+(4*1/3)^2

(13+36)2+(4⋅13)2
Simplify each term.
Cancel the common factor of 3 and 6.
Factor 3 out of 3.
(13+3(1)6)2+(4⋅13)2
Cancel the common factors.
Factor 3 out of 6.
(13+3⋅13⋅2)2+(4⋅13)2
Cancel the common factor.
(13+3⋅13⋅2)2+(4⋅13)2
Rewrite the expression.
(13+12)2+(4⋅13)2
(13+12)2+(4⋅13)2
(13+12)2+(4⋅13)2
To write 13 as a fraction with a common denominator, multiply by 22.
(13⋅22+12)2+(4⋅13)2
To write 12 as a fraction with a common denominator, multiply by 33.
(13⋅22+12⋅33)2+(4⋅13)2
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 13 and 22.
(23⋅2+12⋅33)2+(4⋅13)2
Multiply 3 by 2.
(26+12⋅33)2+(4⋅13)2
Multiply 12 and 33.
(26+32⋅3)2+(4⋅13)2
Multiply 2 by 3.
(26+36)2+(4⋅13)2
(26+36)2+(4⋅13)2
Combine the numerators over the common denominator.
(2+36)2+(4⋅13)2
(56)2+(4⋅13)2
Apply the product rule to 56.
5262+(4⋅13)2
Raise 5 to the power of 2.
2562+(4⋅13)2
Raise 6 to the power of 2.
2536+(4⋅13)2
Combine 4 and 13.
2536+(43)2
Apply the product rule to 43.
2536+4232
Raise 4 to the power of 2.
2536+1632
Raise 3 to the power of 2.
2536+169
2536+169
To write 169 as a fraction with a common denominator, multiply by 44.
2536+169⋅44
Write each expression with a common denominator of 36, by multiplying each by an appropriate factor of 1.
Multiply 169 and 44.
2536+16⋅49⋅4
Multiply 9 by 4.
2536+16⋅436
2536+16⋅436
Combine the numerators over the common denominator.
25+16⋅436
Simplify the numerator.
Multiply 16 by 4.
25+6436
8936
8936
The result can be shown in multiple forms.
Exact Form:
8936
Decimal Form:
2.472‾
Mixed Number Form:
21736
Evaluate (1/3+3/6)^2+(4*1/3)^2

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