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Exercise

$-7\sqrt[3]{5x}+20\sqrt[3]{5x}-2\sqrt[3]{5x}-\sqrt[3]{5x}$

Step-by-step Solution

1

Combining like terms $-7\sqrt[3]{5x}$ and $20\sqrt[3]{5x}$

$13\sqrt[3]{5x}-2\sqrt[3]{5x}-\sqrt[3]{5x}$
2

Combining like terms $13\sqrt[3]{5x}$ and $-2\sqrt[3]{5x}$

$11\sqrt[3]{5x}-\sqrt[3]{5x}$
3

Combining like terms $11\sqrt[3]{5x}$ and $-\sqrt[3]{5x}$

$10\sqrt[3]{5x}$
4

The power of a product is equal to the product of it's factors raised to the same power

$10\sqrt[3]{5}\sqrt[3]{x}$

Final answer to the exercise

$10\sqrt[3]{5}\sqrt[3]{x}$

Try other ways to solve this exercise

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Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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