Solve the product (s-0.1)(s+0.2)

 Exercise

$\left(s-0.1\right)\left(s+0.2\right)$

 

Multiply the single term $s+0.2$ by each term of the polynomial $\left(s-0.1\right)$

$s\left(s+0.2\right)-0.1\left(s+0.2\right)$

 

Multiply the single term $s$ by each term of the polynomial $\left(s+0.2\right)$

$s\cdot s+0.2s-0.1\left(s+0.2\right)$

 

When multiplying two powers that have the same base ($s$), you can add the exponents

$s^2+0.2s-0.1\left(s+0.2\right)$

 

Multiply the single term $-0.1$ by each term of the polynomial $\left(s+0.2\right)$

$s^2+0.2s-0.1s-0.02$

 

Combining like terms $0.2s$ and $-0.1s$

$s^2+0.1s-0.02$

$s^2+0.1s-0.02$

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