To evaluate the expression \( 29 + x^2 - 1^3 \) when \( x = 9 \), follow these steps:
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Substitute \( x = 9 \) into the expression: \[ 29 + 9^2 - 1^3 \]
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Calculate \( 9^2 \): \[ 9^2 = 81 \]
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Calculate \( 1^3 \): \[ 1^3 = 1 \]
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Now substitute these values back into the expression: \[ 29 + 81 - 1 \]
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Perform the addition and subtraction: \[ 29 + 81 = 110 \] \[ 110 - 1 = 109 \]
Thus, the value of the expression when \( x = 9 \) is \( \boxed{109} \).