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Combine like terms in the expression: x² + 4 + 5y³ + 2x² - 2x² - 6 + 1

User S P Sharan
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1 Answer

3 votes

First, let's group all the same types of terms together:

All the x² terms (x², 2x², -2x²),
All the y³ terms (5y³),
All the constant terms (4, -6, 1).

Next, let's handle these different types of terms separately.

1. **The x² terms**

Add all the x² terms together: x² + 2x² - 2x².

The 2x² cancels -2x², so, after adding, you are left with just x².

2. **The y³ terms**

In the given expression, we only have one term with 'y', which is 5y³, so we can't add or subtract it to/from anything, and it remains as is.

3. **The constant terms**

Add all the constant terms together: 4 - 6 + 1.

If you subtract 6 from 4, you get -2. Then adding 1 to -2, you get -1.

Finally, combine everything we have calculated:

Our final expression becomes x² + 5y³ - 1.

User Mizbella
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