Exercise
$\left(\frac{3}{5}x^2-\frac{1}{2}\right)\left(\frac{3}{5}x^2+\frac{1}{2}\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Simplify the product of conjugate binomials (3/5x^2-1/2)(3/5x^2+1/2). 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.. Multiply the fraction and term in - \frac{1}{4}. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power \left(\frac{3}{5}\right)^2.
Simplify the product of conjugate binomials (3/5x^2-1/2)(3/5x^2+1/2)
Final answer to the exercise
$\frac{9}{25}x^{4}-\frac{1}{4}$