Exercise
$\left(\frac{2}{3}p^5+\frac{4}{5}p^4\right)\left(\frac{2}{3}p^5-\frac{4}{5}p^4\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Simplify the product of conjugate binomials (2/3p^5+4/5p^4)(2/3p^5-4/5p^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 \left(\frac{2}{3}\right)^2.
Simplify the product of conjugate binomials (2/3p^5+4/5p^4)(2/3p^5-4/5p^4)
Final answer to the exercise
$\frac{4}{9}p^{10}-\frac{16}{25}p^{8}$