Chapter 8: Q.529 (page 854)

In the following exercises, multiply.
$(\sqrt[3]{3 x} + 2) (\sqrt[3]{3 x} - 2)$

Short Answer

Expert verified

Simplifying

$(\sqrt[3]{3 x} + 2) (\sqrt[3]{3 x} - 2) = \sqrt[3]{3^{2}} {(\sqrt[3]{x})}^{2} - 4$

Step by step solution

Step 1. Given information

We have given,

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

Step 2. Concept

Here we will use the difference of two squares formula,

$(a + b) (a - b) = a^{2} - b^{2}$

Step 3. Explanation

We have,

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

Using difference of two squares formula,

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

Simplifying,

${(3 x)}^{\frac{2}{3}} - 4$

Step 4. Conclusion

Hence, simplifying $(\sqrt[3]{3 x} + 2) (\sqrt[3]{3 x} - 2)$ we will get, ${(3 x)}^{\frac{2}{3}} - 4$ .

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In the following exercises, multiply.
$(\sqrt[3]{3 x} + 2) (\sqrt[3]{3 x} - 2)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept

Step 3. Explanation

Step 4. Conclusion

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Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept

Step 3. Explanation

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercises, multiply.
$(\sqrt[3]{3 x} + 2) (\sqrt[3]{3 x} - 2)$