Learn how to solve integrals with radicals problems step by step online. Simplify the product of conjugate binomials ((3a^4)/(c^2)+(-b)/2)((3a^4)/(c^2)+b/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 quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The power of a product is equal to the product of it's factors raised to the same power. Combine \frac{9a^{8}}{c^{4}}-\left(\frac{b}{2}\right)^2 in a single fraction.

Simplify the product of conjugate binomials ((3a^4)/(c^2)+(-b)/2)((3a^4)/(c^2)+b/2)