What is (28^2-18^2-13^2)/(2(18)13) ?

The solution to (28^2-18^2-13^2)/(2(18)13) is 97/156

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(28^2-18^2-13^2)/(2(18)13)

\frac{2 8 ^{2} - 1 8 ^{2} - 1 3 ^{2}}{2 ( 18 ) 13}

\frac{97}{156}

Solution steps

\frac{2 8 ^{2} - 1 8 ^{2} - 1 3 ^{2}}{2 ( 18 ) \cdot 13}

Solve

2 8^{2} - 1 8^{2} - 1 3^{2} : 291

Follow the PEMDAS order of operations

Calculate exponents

2 8^{2} : 784

2 8^{2}

2 8^{2} = 784

= 784

= 784 - 1 8^{2} - 1 3^{2}

Calculate exponents

1 8^{2} : 324

1 8^{2}

1 8^{2} = 324

= 324

= 784 - 324 - 1 3^{2}

Calculate exponents

1 3^{2} : 169

1 3^{2}

1 3^{2} = 169

= 169

= 784 - 324 - 169

Add and subtract (left to right)

784 - 324 - 169 : 291

784 - 324 - 169

784 - 324 = 460

= 460 - 169

460 - 169 = 291

= 291

= 291

Solve

2 (18) 13 : 468

2 (18) 13 = 468

= 468

= \frac{291}{468}

Cancel the common factor:

3

= \frac{97}{156}

1^{2} - 4 (1) - 5

1 \frac{1}{3} \times 5 \div \frac{2}{3}

(- 9) (- 6 + 4 - 7 - 2 + 8 - 3 + 9)

50 - 8 \times 5 \div 10

3 - 4 - 5

What is (28^2-18^2-13^2)/(2(18)13) ?
The solution to (28^2-18^2-13^2)/(2(18)13) is 97/156