Final Answer
$\frac{52+x+\sqrt{x^2+14x}}{\sqrt{81x^2+162x+8}-\sqrt{x^2-11}}$
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Step-by-step Solution
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1
The trinomial $x^2+6x+9$ is a perfect square trinomial, because it's discriminant is equal to zero
$\Delta=b^2-4ac=6^2-4\left(1\right)\left(9\right) = 0$
Learn how to solve simplification of algebraic fractions problems step by step online.
$\Delta=b^2-4ac=6^2-4\left(1\right)\left(9\right) = 0$
Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression ((x^2+6x+9)^1/2+(x^2+14x)^1/2+49)/((81x^2+162x+8)^1/2-(x^2-11)^1/2). The trinomial x^2+6x+9 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Cancel exponents 2 and \frac{1}{2}.
Final Answer
$\frac{52+x+\sqrt{x^2+14x}}{\sqrt{81x^2+162x+8}-\sqrt{x^2-11}}$