Exercise
$\:\left(12\:+5a^2\right)\left(12-5a^2\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Simplify the product of conjugate binomials (12+5a^2)(12-5a^2). 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^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2.
Simplify the product of conjugate binomials (12+5a^2)(12-5a^2)
Final answer to the exercise
$144-25a^{4}$