If x * y = x^2 + y^2 – xy, then the value of 9 * 11 is
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Given the operation \(x^{*} y = x^{2} + y^{2} – xy\), let’s calculate the value of \(9^{*} 11\).
Substitute \(x = 9\) and \(y = 11\) into the formula:
\[
9^{*} 11 = 9^{2} + 11^{2} – 9 \times 11
\]
Simplify each term:
\[
9^{*} 11 = 81 + 121 – 99
\]
Add and subtract the terms:
\[
9^{*} 11 = 202 – 99 = 103
\]
Therefore, the value of \(9^{*} 11\) is \(\boldsymbol{103}\).