Exercise
$\left(9-6x^3\right)\left(6x^3+9\right)\left(81+36x^4\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Simplify the product of conjugate binomials (9-6x^3)(6x^3+9)(81+36x^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.. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power 6^2. 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.
Simplify the product of conjugate binomials (9-6x^3)(6x^3+9)(81+36x^4)
Final answer to the exercise
$\left(81-36x^{6}\right)\left(81+36x^4\right)$