Exercise
$\left(\frac{1}{2}x^2+\frac{2}{3}y\right)^4$
Step-by-step Solution
Learn how to solve polynomial factorization problems step by step online. Expand the expression (1/2x^2+2/3y)^4. Expand the binomial \left(\frac{1}{2}x^2+\frac{2}{3}y\right)^4. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. Multiply the fraction and term in 6\cdot \left(\frac{1}{4}\right)\cdot \left(\frac{4}{9}\right)x^{4}y^2.
Expand the expression (1/2x^2+2/3y)^4
Final answer to the exercise
$\frac{1}{16}x^{8}+\frac{1}{3}x^{6}y+\frac{2}{3}x^{4}y^2+\frac{16}{27}x^2y^3+\frac{16}{81}y^4$