Learn how to solve problems step by step online. Simplify the product of conjugate binomials (2a^2+a^4)(2a^2-a^4). 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^4\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals 2. Multiply 4 times 2. The power of a product is equal to the product of it's factors raised to the same power.

Simplify the product of conjugate binomials (2a^2+a^4)(2a^2-a^4)