What is (1/2-1/3)(1/2+1/3) ?

The solution to (1/2-1/3)(1/2+1/3) is 5/36

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(1/2-1/3)(1/2+1/3)

(\frac{1}{2} - \frac{1}{3}) (\frac{1}{2} + \frac{1}{3})

\frac{5}{36}

Solution steps

(\frac{1}{2} - \frac{1}{3}) (\frac{1}{2} + \frac{1}{3})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{2} - \frac{1}{3}) : \frac{1}{6}

= \frac{1}{6} (\frac{1}{2} + \frac{1}{3})

Calculate within parentheses

(\frac{1}{2} + \frac{1}{3}) : \frac{5}{6}

= \frac{1}{6} \cdot \frac{5}{6}

Multiply and divide (left to right)

\frac{1}{6} \cdot \frac{5}{6} : \frac{5}{36}

= \frac{5}{36}

\frac{3}{7 - 2}

4 (x + 2)^{2} + 100 = 14

- 2 x^{2} + 38 x - 180

2 k^{3} + 9 k^{2} + 13 k + 6

∣ x - 7 ∣ - 3 \geq 8