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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).

Multiply the rational expression and express the product in simplest form c26c55c222c121c216c55c210c25 Enclose numerators and denominators in parentheses For ex class=

Respuesta :

The expression is given as

[tex]\frac{c^2+6c-55^{}}{c^2+22c+121}.\frac{c^2-16c+55}{c^2-10c+25^{}}[/tex]

Factorise the polynomial

[tex]\frac{(c-5)(c+11)}{(c+11)^2}.\frac{(c-11)(c-5)}{(c-5)^2}=\frac{(c-11)}{(c+11)}[/tex]

Hence the answer is

[tex]\frac{c-11}{c+11}[/tex]

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