Learn how to solve special products problems step by step online. Simplify the product of conjugate binomials (x^5y^5+1/4x^3)(x^5y^5-1/4x^3). 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. . Simplify \left(x^5\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals 2.

Simplify the product of conjugate binomials (x^5y^5+1/4x^3)(x^5y^5-1/4x^3)