(X-2y)^2-16/49
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To simplify the expression \((x-2y)^2 - \frac{16}{49}\), we can follow these steps:
Step 1: Expand the squared term \((x-2y)^2\):
\((x-2y)^2 = (x-2y)(x-2y)\)
Expanding this using the FOIL method, we get:
\((x-2y)(x-2y) = x \cdot x + x \cdot (-2y) + (-2y) \cdot x + (-2y) \cdot (-2y)\)
Simplifying further:
\(= x^2 - 2xy - 2xy + 4y^2\)
\(= x^2 - 4xy + 4y^2\)
Step 2: Substitute this expanded term back into the original expression:
\(x^2 - 4xy + 4y^2 - \frac{16}{49}\)
So, the simplified form of the expression \((x-2y)^2 - \frac{16}{49}\) is \(x^2 - 4xy + 4y^2 - \frac{16}{49}\).