What is expand (8z+pi/(10))(37pi)/(90) ?

The solution to expand (8z+pi/(10))(37pi)/(90) is (148piz)/(45)+(37pi^2)/(900)

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expand (8z+pi/(10))(37pi)/(90)

expand

(8 z + \frac{π}{10}) \frac{37 π}{90}

\frac{148 π z}{45} + \frac{37 π ^{2}}{900}

Solution steps

(8 z + \frac{π}{10}) \frac{37 π}{90}

= \frac{37 π}{90} (8 z + \frac{π}{10})

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{37 π}{90}, b = 8 z, c = \frac{π}{10}

= \frac{37 π}{90} \cdot 8 z + \frac{37 π}{90} \cdot \frac{π}{10}

= 8 \cdot \frac{37 π}{90} z + \frac{π}{10} \cdot \frac{37 π}{90}

Simplify

8 \cdot \frac{37 π}{90} z + \frac{π}{10} \cdot \frac{37 π}{90} : \frac{148 π z}{45} + \frac{37 π ^{2}}{900}

= \frac{148 π z}{45} + \frac{37 π ^{2}}{900}

t^{2} (1 - t) - sin (t)

\frac{i r ( 2 + x ^{2} ) ^{3}}{8}

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

\frac{- 2 s ^{2} - 1}{( s ^{2} + 1 ) ^{2}}

A (4, - 1) B (2, 3) C (2, 3)

What is expand (8z+pi/(10))(37pi)/(90) ?
The solution to expand (8z+pi/(10))(37pi)/(90) is (148piz)/(45)+(37pi^2)/(900)