(2a-7)-solve-using-identity.jpeg "(2a-7)(2a-7) Solve Using Identity")
Solving (2a-7)(2a-7) using the Identity
The expression (2a-7)(2a-7) can be simplified using the difference of squares identity. This identity states that:
(a - b)² = a² - 2ab + b²
Let's apply this to our expression:
1. Identify a and b:
In our case, a = 2a and b = 7.
2. Substitute into the identity:
(2a - 7)² = (2a)² - 2(2a)(7) + 7²
3. Simplify:
(2a - 7)² = 4a² - 28a + 49
Therefore, (2a-7)(2a-7) simplifies to 4a² - 28a + 49.