(13+36)2+(4⋅13)2

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

Add 2 and 3.

(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

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

Multiply 16 by 4.

25+6436

Add 25 and 64.

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