What is (5-3)^2-15/3+4(8-5) ?

The solution to (5-3)^2-15/3+4(8-5) is 11

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(5-3)^2-15/3+4(8-5)

(5 - 3)^{2} - \frac{15}{3} + 4 (8 - 5)

11

Solution steps

(5 - 3)^{2} - \frac{15}{3} + 4 (8 - 5)

\frac{15}{3} = 5

Divide the numbers:

\frac{15}{3} = 5

5

= (5 - 3)^{2} - 5 + 4 (8 - 5)

Follow the PEMDAS order of operations

Calculate within parentheses

(5 - 3) : 2

5 - 3

5 - 3 = 2

= 2

= 2^{2} - 5 + 4 (8 - 5)

Calculate within parentheses

(8 - 5) : 3

8 - 5

8 - 5 = 3

= 3

= 2^{2} - 5 + 4 \cdot 3

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 4 - 5 + 4 \cdot 3

Multiply and divide (left to right)

4 \cdot 3 : 12

4 \cdot 3

4 \cdot 3 = 12

= 12

= 4 - 5 + 12

Add and subtract (left to right)

4 - 5 + 12 : 11

4 - 5 + 12

4 - 5 = - 1

= - 1 + 12

- 1 + 12 = 11

= 11

= 11

91 - 5 \times 7 + 21 \div 3

30 0^{2} + 40 0^{2}

(2)^{3} - (2)^{2}

34 - 4 - 2 - 3

50 \div 500 \times 120