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Arithmetic · Arithmetic

Evaluate (10-15)^2/15 + (20-15)^2/15

\frac{\left(10 - 15\right)^{2}}{15} + \frac{\left(20 - 15\right)^{2}}{15}

Step by step

  1. \left(-15 + 10\right)^{2} \cdot \frac{1}{15} + \left(-15 + 20\right)^{2} \cdot \frac{1}{15} = \left(-5\right)^{2} \cdot \frac{1}{15} + \left(-15 + 20\right)^{2} \cdot \frac{1}{15}

    Add: -15 + 10 = -5.

  2. \left(-5\right)^{2} \cdot \frac{1}{15} + \left(-15 + 20\right)^{2} \cdot \frac{1}{15} = 25 \cdot \frac{1}{15} + \left(-15 + 20\right)^{2} \cdot \frac{1}{15}

    Power: (-5)^2 = 25.

  3. 25 \cdot \frac{1}{15} + \left(-15 + 20\right)^{2} \cdot \frac{1}{15} = \frac{5}{3} + \left(-15 + 20\right)^{2} \cdot \frac{1}{15}

    Multiply: 25(1/15) = 5/3.

  4. \frac{5}{3} + \left(-15 + 20\right)^{2} \cdot \frac{1}{15} = \frac{5}{3} + 5^{2} \cdot \frac{1}{15}

    Add: -15 + 20 = 5.

  5. \frac{5}{3} + 5^{2} \cdot \frac{1}{15} = \frac{5}{3} + 25 \cdot \frac{1}{15}

    Power: 5^2 = 25.

  6. \frac{5}{3} + 25 \cdot \frac{1}{15} = \frac{5}{3} + \frac{5}{3}

    Multiply: 25(1/15) = 5/3.

  7. \frac{5}{3} + \frac{5}{3} = \frac{10}{3}

    Add: 5/3 + 5/3 = 10/3.

Reveal the answer
\frac{10}{3}