Learn how to solve special products problems step by step online. Simplify the product of conjugate binomials (5a^5+10)(10-5a^5). 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 5^2. Simplify \left(a^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 (5a^5+10)(10-5a^5)