Divission of rational expressions
Divide and simplify the following expression.
x^2-49/x ÷ x+7/x-7
Divide and simplify the following expression. x^2-49/x ÷ x+7/x-7
\(\dfrac{\frac{x^2-49}{x}}{\frac{x+7}{x-7}}=\dfrac{x^2-49}{x}\dfrac{x-7}{x+7}=\)
\(\dfrac{(x-7)(x+7)(x-7)}{x(x+7)}=\dfrac{(x-7)^2}{x}\)