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Arithmetic · Arithmetic

Evaluate (20-25)^2/25 + (30-25)^2/25

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Step by step

  1. \left(-25 + 20\right)^{2} \cdot \frac{1}{25} + \left(-25 + 30\right)^{2} \cdot \frac{1}{25} = \left(-5\right)^{2} \cdot \frac{1}{25} + \left(-25 + 30\right)^{2} \cdot \frac{1}{25}

    Add: -25 + 20 = -5.

  2. \left(-5\right)^{2} \cdot \frac{1}{25} + \left(-25 + 30\right)^{2} \cdot \frac{1}{25} = 25 \cdot \frac{1}{25} + \left(-25 + 30\right)^{2} \cdot \frac{1}{25}

    Power: (-5)^2 = 25.

  3. 25 \cdot \frac{1}{25} + \left(-25 + 30\right)^{2} \cdot \frac{1}{25} = 1 + \left(-25 + 30\right)^{2} \cdot \frac{1}{25}

    Multiply: 25(1/25) = 1.

  4. 1 + \left(-25 + 30\right)^{2} \cdot \frac{1}{25} = 1 + 5^{2} \cdot \frac{1}{25}

    Add: -25 + 30 = 5.

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

    Power: 5^2 = 25.

  6. 1 + 25 \cdot \frac{1}{25} = 1 + 1

    Multiply: 25(1/25) = 1.

  7. 1 + 1 = 2

    Add: 1 + 1 = 2.

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