Solve G(s)=100(s-100)/(s+100)(s+1000)

$$G ( s ) = \frac { 100 ( s - 100 ) } { ( s + 100 ) ( s + 1000 ) }$$

Evaluate

$$\frac{100\left(s-100\right)}{\left(s+100\right)\left(s+1000\right)}$$

Short Solution Steps

Use the distributive property to multiply 100 by s-100.

$$\frac{100s-10000}{\left(s+100\right)\left(s+1000\right)}$$

Apply the distributive property by multiplying each term of s+100 by each term of s+1000.

$$\frac{100s-10000}{s^{2}+1000s+100s+100000}$$

Combine 1000s and 100s to get 1100s.

$$\frac{100s-10000}{s^{2}+1100s+100000}$$

Expand

$$\frac{100\left(s-100\right)}{\left(s+100\right)\left(s+1000\right)}$$

Short Solution Steps

Use the distributive property to multiply 100 by s-100.

$$\frac{100s-10000}{\left(s+100\right)\left(s+1000\right)}$$

Apply the distributive property by multiplying each term of s+100 by each term of s+1000.

$$\frac{100s-10000}{s^{2}+1000s+100s+100000}$$

Combine 1000s and 100s to get 1100s.

$$\frac{100s-10000}{s^{2}+1100s+100000}$$