What is expand b((t-s)/(-b)) ?

The solution to expand b((t-s)/(-b)) is -t+s

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expand b((t-s)/(-b))

expand

b (\frac{t - s}{- b})

- t + s

Solution steps

b (\frac{t - s}{- b})

Remove parentheses:

(a) = a

= b \frac{t - s}{- b}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= (- \frac{t - s}{b}) b

Remove parentheses:

(- a) = - a

= - b \frac{t - s}{b}

Multiply fractions:

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

= - \frac{( t - s ) b}{b}

Cancel the common factor:

b

= - t - s

Distribute parentheses

= - (t) - (- s)

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - t + s

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