Exercise
$36y^2=\left(x^2-4\right)^3$
Step-by-step Solution
Learn how to solve simplification of algebraic expressions problems step by step online. Solve the equation 36y^2=(x^2-4)^3. Divide both sides of the equation by 36. Removing the variable's exponent. Cancel exponents 2 and 1. As in the equation we have the sign \pm, this produces two identical equations that differ in the sign of the term \sqrt{\frac{\left(x^2-4\right)^3}{36}}. We write and solve both equations, one taking the positive sign, and the other taking the negative sign.
Solve the equation 36y^2=(x^2-4)^3
Final answer to the exercise
$y=\frac{\sqrt{\left(x^2-4\right)^{3}}}{6},\:y=\frac{-\sqrt{\left(x^2-4\right)^{3}}}{6}$