Exercise
$\left(\sqrt{3}x\cdot y+6\right)\cdot\left(3x^2\cdot y^2-6\sqrt{3}x\cdot y+36\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Expand the expression (3^(1/2)xy+6)(3x^2y^2-6*3^(1/2)xy+36). Multiply the single term 3x^2y^2-6\sqrt{3}xy+36 by each term of the polynomial \left(\sqrt{3}xy+6\right). Multiply the single term \sqrt{3}xy by each term of the polynomial \left(3x^2y^2-6\sqrt{3}xy+36\right). When multiplying exponents with same base we can add the exponents. When multiplying exponents with same base you can add the exponents: 3\sqrt{3}x^2y^2xy.
Expand the expression (3^(1/2)xy+6)(3x^2y^2-6*3^(1/2)xy+36)
Final answer to the exercise
$3\sqrt{3}x^{3}y^{3}+216$