Exercise
$\left(r^3+w^2\right)\left(r^3-w^2\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Simplify the product of conjugate binomials (r^3+w^2)(r^3-w^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.. Simplify \left(r^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(w^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 (r^3+w^2)(r^3-w^2)
Final answer to the exercise
$r^{6}-w^{4}$