Question
\( ( x + z - y ) ( x - z + y ) , \quad x = \quad y = 4 \quad z = - 4 \)
Ask by Weber Medina. in Mexico
Mar 13,2025
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Answer
El resultado de la expresión es \(-48\).
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To evaluate the expression \( ( x + z - y )( x - z + y ) \) with \( x = 4 \), \( y = 4 \), and \( z = -4 \), we first substitute the values into the expression. Calculating \( x + z - y \): \[ x + z - y = 4 + (-4) - 4 = 4 - 4 - 4 = -4 \] Next, we calculate \( x - z + y \): \[ x - z + y = 4 - (-4) + 4 = 4 + 4 + 4 = 12 \] Now, substituting these results into the product: \[ ( x + z - y )( x - z + y ) = (-4)(12) = -48 \] So the final answer is: \[ -48 \]