What is expand-(y(b-a)-hb)/h ?

The solution to expand-(y(b-a)-hb)/h is -(by)/h+(ay)/h+b

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expand-(y(b-a)-hb)/h

expand

- \frac{y ( b - a ) - hb}{h}

- \frac{b y}{h} + \frac{a y}{h} + b

Solution steps

- \frac{y ( b - a ) - hb}{h}

Expand

y (b - a) - hb : b y - a y - hb

= - \frac{b y - a y - bh}{h}

Apply the fraction rule:

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

\frac{b y - a y - hb}{h} = - (\frac{b y}{h}) - (- \frac{a y}{h}) - (- \frac{hb}{h})

= - (\frac{b y}{h}) - (- \frac{a y}{h}) - (- \frac{bh}{h})

Remove parentheses:

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

= - \frac{b y}{h} + \frac{a y}{h} + \frac{hb}{h}

Cancel

\frac{hb}{h} : b

= - \frac{b y}{h} + \frac{a y}{h} + b

\frac{s - 3}{( s ^{2} + 8 s + 16 ) ( s + 3 )}

(x^{8} + 5 x^{5} + 3) d x

\frac{10 x ( x + 3 )}{3}

e^{x} (2 y + 1)

\frac{x ^{3}}{( 3 x + 5 ) ( 2 x - 1 )}

What is expand-(y(b-a)-hb)/h ?
The solution to expand-(y(b-a)-hb)/h is -(by)/h+(ay)/h+b