Answer:
The expression for c is;
[tex]c=\frac{a}{h}-b[/tex]Explanation:
Given the below expression;
[tex]a=h(b+c)[/tex]We want to find the expression for c;
Firstly, let's divide both sides by h;
[tex]\begin{gathered} \frac{a}{h}=\frac{h(b+c)}{h} \\ \frac{a}{h}=b+c \end{gathered}[/tex]Then, we can now subtract b from both sides;
[tex]\begin{gathered} \frac{a}{h}-b=b-b+c \\ \frac{a}{h}-b=c \\ c=\frac{a}{h}-b \end{gathered}[/tex]Therefore, the expression for c is;
[tex]c=\frac{a}{h}-b[/tex]