Question

Multiply the rational expression and express the product in simplest form. c2+6c−55c2+22c+121⋅c2−16c+55c2−10c+25 Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n).

Answer 1

The expression is given as

$\frac{c^2+6c-55^{}}{c^2+22c+121}.\frac{c^2-16c+55}{c^2-10c+25^{}}$

Factorise the polynomial

$\frac{(c-5)(c+11)}{(c+11)^2}.\frac{(c-11)(c-5)}{(c-5)^2}=\frac{(c-11)}{(c+11)}$

Hence the answer is

$\frac{c-11}{c+11}$