What is expand (980pi+114(2+sqrt(3)))/(14pi) ?

The solution to expand (980pi+114(2+sqrt(3)))/(14pi) is 70+(114)/(7pi)+(57sqrt(3))/(7pi)

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expand (980pi+114(2+sqrt(3)))/(14pi)

expand

\frac{980 π + 114 ( 2 + 3 )}{14 π}

70 + \frac{114}{7 π} + \frac{57 3}{7 π}

Decimal

79.67329 \dots

Solution steps

\frac{980 π + 114 ( 2 + 3 )}{14 π}

Expand

980 π + 114 (2 + 3) : 980 π + 228 + 1143

= \frac{980 π + 228 + 114 3}{14 π}

Factor

980 π + 228 + 1143 : 2 (490 π + 114 + 573)

= \frac{2 ( 490 π + 114 + 57 3 )}{14 π}

Cancel the common factor:

2

= \frac{490 π + 114 + 57 3}{7 π}

Apply the fraction rule:

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

\frac{490 π + 114 + 57 3}{7 π} = \frac{490 π}{7 π} + \frac{114}{7 π} + \frac{57 3}{7 π}

= \frac{490 π}{7 π} + \frac{114}{7 π} + \frac{57 3}{7 π}

Cancel

\frac{490 π}{7 π} : 70

= 70 + \frac{114}{7 π} + \frac{57 3}{7 π}

e x p an d (- 2 x + sy (x, s, o) = o) \cdot s

e x p an d \frac{x ^{2}}{( 1 + x ) ( 2 x + 1 )}

e x p an d \frac{s}{( ( x ^{2} + 9 ) \cdot ( x ^{2} + 4 ) )}

e x p an d (1 + 2 x)^{(\frac{1}{2})}

e x p an d \frac{1}{2 ( x + 4 )}

What is expand (980pi+114(2+sqrt(3)))/(14pi) ?
The solution to expand (980pi+114(2+sqrt(3)))/(14pi) is 70+(114)/(7pi)+(57sqrt(3))/(7pi)