(2a-7)-using-identity.jpeg "(2a-7)(2a-7) Using Identity")
Expanding (2a-7)(2a-7) using the Identity
The expression (2a-7)(2a-7) can be expanded using the difference of squares identity. This identity states that:
(a - b)² = a² - 2ab + b²
Here's how to apply it to our expression:
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Identify 'a' and 'b': In our case, a = 2a and b = 7.
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Substitute into the identity: (2a - 7)² = (2a)² - 2(2a)(7) + (7)²
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Simplify: (2a - 7)² = 4a² - 28a + 49
Therefore, the expanded form of (2a-7)(2a-7) is 4a² - 28a + 49.
This method is more efficient than directly multiplying the terms in the expression, as it utilizes a pre-established pattern.