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

Simplify the product of conjugate binomials (a^(3m)+b^(2n))(a^(3m)-b^(2n))