(3x+5y)^2

Jasonbradley

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Jun 16, 2024

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Expanding (3x + 5y)²

In mathematics, expanding a squared expression means writing it out as a multiplication of the term by itself. In this case, (3x + 5y)² means:

(3x + 5y)² = (3x + 5y) * (3x + 5y)

To expand this expression, we use the FOIL method which stands for First, Outer, Inner, Last. This method helps us multiply each term in the first bracket with each term in the second bracket systematically.

Here's how to expand (3x + 5y)²:

1. First: Multiply the first terms in each bracket: 3x * 3x = 9x²
2. Outer: Multiply the outer terms: 3x * 5y = 15xy
3. Inner: Multiply the inner terms: 5y * 3x = 15xy
4. Last: Multiply the last terms: 5y * 5y = 25y²

Now, we have: (3x + 5y)² = 9x² + 15xy + 15xy + 25y²

Finally, combine the like terms: (3x + 5y)² = 9x² + 30xy + 25y²

Therefore, the expanded form of (3x + 5y)² is 9x² + 30xy + 25y².