Final answer to the problem
$\frac{\left(x+5\right)^2+\left(-x-11\right)\left(x-1\right)}{\left(x+3\right)^2+\left(-x-5\right)\left(x+1\right)}$
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Step-by-step Solution
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1
Simplifying
$\frac{\left(x+5\right)^2-\left(x+11\right)\left(x-1\right)}{\left(x+3\right)^2+\left(-x-5\right)\left(x+1\right)}$
2
Simplify the product $-(x+11)$
$\frac{\left(x+5\right)^2+\left(-x-11\right)\left(x-1\right)}{\left(x+3\right)^2+\left(-x-5\right)\left(x+1\right)}$
Final answer to the problem
$\frac{\left(x+5\right)^2+\left(-x-11\right)\left(x-1\right)}{\left(x+3\right)^2+\left(-x-5\right)\left(x+1\right)}$