Question

6.6
score: 14/17 14/17 answered
question 15
multiply.
$(3\sqrt3{y} + 2)(\sqrt3{y} - 1) =$
question help: video post to forum

Explanation:

Step1: Apply FOIL multiplication method

$(3\sqrt[3]{y} + 2)(\sqrt[3]{y} - 1) = 3\sqrt[3]{y} \cdot \sqrt[3]{y} + 3\sqrt[3]{y} \cdot (-1) + 2 \cdot \sqrt[3]{y} + 2 \cdot (-1)$

Step2: Simplify each term

$3(\sqrt[3]{y})^2 - 3\sqrt[3]{y} + 2\sqrt[3]{y} - 2$

Step3: Combine like radicals

$3\sqrt[3]{y^2} + (-3\sqrt[3]{y} + 2\sqrt[3]{y}) - 2 = 3\sqrt[3]{y^2} - \sqrt[3]{y} - 2$

Answer:

$3\sqrt[3]{y^2} - \sqrt[3]{y} - 2$