Solve ((100)^(2))/(199)-((99)^(2))/(199) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{ { 100 }^{ 2 } }{ 199 } - \frac{ { 99 }^{ 2 } }{ 199 }$$

Evaluate

$1$

Solution Steps

Calculate $100$ to the power of $2$ and get $10000$.

$$\frac{10000}{199}-\frac{99^{2}}{199}$$

Calculate $99$ to the power of $2$ and get $9801$.

$$\frac{10000}{199}-\frac{9801}{199}$$

Since $\frac{10000}{199}$ and $\frac{9801}{199}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{10000-9801}{199}$$

Subtract $9801$ from $10000$ to get $199$.

$$\frac{199}{199}$$

Divide $199$ by $199$ to get $1$.

$$1$$

Factor

$1$