(3c−5)2

less than a minute read Jun 16, 2024
(3c−5)2

Expanding (3c - 5)²

Expanding the expression (3c - 5)² involves applying the concept of squaring a binomial. This means multiplying the binomial by itself.

Here's how to expand it:

1. Understand the pattern:

The general pattern for squaring a binomial (a + b)² is:

(a + b)² = a² + 2ab + b²

2. Apply the pattern:

In our case, a = 3c and b = -5. Therefore:

(3c - 5)² = (3c)² + 2(3c)(-5) + (-5)²

3. Simplify the expression:

(3c)² + 2(3c)(-5) + (-5)² = 9c² - 30c + 25

Therefore, the expanded form of (3c - 5)² is 9c² - 30c + 25.

Key takeaways:

  • Understanding the pattern for squaring a binomial is crucial for expanding these expressions.
  • Be mindful of the signs when applying the pattern.
  • Simplify the expression after applying the pattern to obtain the final result.

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