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

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2/(3^2+1)

Solution

\frac{2}{3 ^{2} + 1}

\frac{1}{5}

Solution steps

\frac{2}{3 ^{2} + 1}

Solve

3^{2} + 1 : 10

Follow the PEMDAS order of operations

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 9 + 1

Add and subtract (left to right)

9 + 1 : 10

9 + 1

9 + 1 = 10

= 10

= 10

= \frac{2}{10}

Cancel the common factor:

2

= \frac{1}{5}

\frac{15}{- 10} \times (- 6) + 2

(- 2) \cdot (- 3) + (- 2 + 5)

4 (2) + 12

7 (4 + 2)^{2} - 7 \cdot 4

3 (- \frac{2}{3} + \frac{4}{9})