Exercise
$\left(\frac{2}{3}x^3+\frac{5}{2}y^2\right)\:\:\left(\frac{2}{3}x^3+\frac{5}{2}y^2\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the product (2/3x^3+5/2y^2)(2/3x^3+5/2y^2). When multiplying two powers that have the same base (\frac{2}{3}x^3+\frac{5}{2}y^2), you can add the exponents. Expand the expression \left(\frac{2}{3}x^3+\frac{5}{2}y^2\right)^2 using the square of a binomial. Take the square of the first term: \frac{2}{3}x^3. Twice (2) the product of the two terms: \frac{2}{3}x^3 and \frac{5}{2}y^2.
Solve the product (2/3x^3+5/2y^2)(2/3x^3+5/2y^2)
Final answer to the exercise
$\frac{4}{9}x^{6}+\frac{10}{3}x^3y^2+\frac{25}{4}y^{4}$