What is 3/2 (pi/2+(3pi)/2) ?

The solution to 3/2 (pi/2+(3pi)/2) is 3pi

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simplify 3/2 (pi/2+(3pi)/2)

simplify

\frac{3}{2} (\frac{π}{2} + \frac{3 π}{2})

3 π

Decimal Notation

9.42477 \dots

Solution steps

\frac{3}{2} (\frac{π}{2} + \frac{3 π}{2})

Combine the fractions

\frac{π}{2} + \frac{3 π}{2} : 2 π

= \frac{3}{2} (2 π)

Remove parentheses:

(a) = a

= \frac{3}{2} \cdot 2 π

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 \cdot 2 π}{2}

Cancel the common factor:

2

= 3 π

∣ 5 - 7 ∣

(x^{3} y^{2})^{4}

5 x^{2} + 50 x + 125

3 (x - 4) < 2 x

\frac{z + 4}{3} = \frac{z + 6}{4}