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

`((c-5)(c+11))/((c+11)^2).((c-11)(c-5))/((c-5)^2)=((c-11))/((c+11))`

Hence the answer is

`(c-11)/(c+11)`