What is expand (1+x/(200pi))(1+x/(20000pi)) ?

The solution to expand (1+x/(200pi))(1+x/(20000pi)) is (x^2)/(4000000pi^2)+(101x)/(20000pi)+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1+x/(200pi))(1+x/(20000pi))

expand

(1 + \frac{x}{200 π}) (1 + \frac{x}{20000 π})

\frac{x ^{2}}{4000000 π ^{2}} + \frac{101 x}{20000 π} + 1

Solution steps

(1 + \frac{x}{200 π}) (1 + \frac{x}{20000 π})

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 1, b = \frac{x}{200 π}, c = 1, d = \frac{x}{20000 π}

= 1 \cdot 1 + 1 \cdot \frac{x}{20000 π} + \frac{x}{200 π} \cdot 1 + \frac{x}{200 π} \cdot \frac{x}{20000 π}

= 1 \cdot 1 + 1 \cdot \frac{x}{20000 π} + 1 \cdot \frac{x}{200 π} + \frac{x}{200 π} \cdot \frac{x}{20000 π}

Simplify

1 \cdot 1 + 1 \cdot \frac{x}{20000 π} + 1 \cdot \frac{x}{200 π} + \frac{x}{200 π} \cdot \frac{x}{20000 π} : \frac{x ^{2}}{4000000 π ^{2}} + \frac{101 x}{20000 π} + 1

= \frac{x ^{2}}{4000000 π ^{2}} + \frac{101 x}{20000 π} + 1

\frac{( 3.95 - 13 s )}{( s ( s ^{2} + 21.5 s + 78 ) )}

(x - 1) (x + 4 + 4 x + 1)

\frac{6 ( s + 2 )}{( s + 4 ) ( s ^{2} + 5 s + 21 )}

\frac{( 3 x ^{4} - 6 a x ^{2} + 3 a ^{2} )}{( 3 x ^{2} + a ) ^{2}}

2 (8 - 2 x - 2 y)^{2}

What is expand (1+x/(200pi))(1+x/(20000pi)) ?
The solution to expand (1+x/(200pi))(1+x/(20000pi)) is (x^2)/(4000000pi^2)+(101x)/(20000pi)+1