Exercise
$\left(\frac{1}{4}v^2+\frac{5}{2}u^2\right)\left(\frac{1}{4}v^2-\frac{5}{2}u^2\right)$
Step-by-step Solution
Learn how to solve trigonometric integrals problems step by step online. Simplify the product of conjugate binomials (1/4v^2+5/2u^2)(1/4v^2-5/2u^2). The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. The power of a product is equal to the product of it's factors raised to the same power. . Calculate the power \left(\frac{1}{4}\right)^2.
Simplify the product of conjugate binomials (1/4v^2+5/2u^2)(1/4v^2-5/2u^2)
Final answer to the exercise
$\frac{1}{16}v^{4}-\frac{25}{4}u^{4}$