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