Exercise
$\left(\sqrt{x}\:+\:2\sqrt{y}\right)\left(\sqrt{2}\:+\:9\sqrt{y}\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Expand the expression (x^(1/2)+2y^(1/2))(2^(1/2)+9y^(1/2)). Multiply the single term \sqrt{2}+9\sqrt{y} by each term of the polynomial \left(\sqrt{x}+2\sqrt{y}\right). Multiply the single term 2\sqrt{y} by each term of the polynomial \left(\sqrt{2}+9\sqrt{y}\right). When multiplying exponents with same base we can add the exponents. Combine fractions with common denominator 2.
Expand the expression (x^(1/2)+2y^(1/2))(2^(1/2)+9y^(1/2))
Final answer to the exercise
$\sqrt{2}\sqrt{x}+9\sqrt{x}\sqrt{y}+\sqrt{\left(2\right)^{3}}\sqrt{y}+18y$