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