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Evaluate the expression 6^(2)+x-x^(2) for x=3.

Evaluate the expression 62+x−x2 6^{2}+x-x^{2} for x=3 x=3 .

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Full solution

Q. Evaluate the expression 62+x−x2 6^{2}+x-x^{2} for x=3 x=3 .
  1. Identify given value: Identify the given value for xx in the expression.\newlineWe are given that x=3x = 3. We need to substitute this value into the expression 62+x−x26^{2} + x - x^{2}.
  2. Substitute value: Substitute the value of xx into the expression.\newlineReplace xx with 33 in the expression to get 62+3−326^{2} + 3 - 3^{2}.
  3. Calculate 66 squared: Calculate the value of 626^{2}, which is 66 squared.\newline62=6×6=366^{2} = 6 \times 6 = 36.
  4. Calculate 33 squared: Calculate the value of 323^{2}, which is 33 squared.\newline32=3×3=93^{2} = 3 \times 3 = 9.
  5. Combine results with xx: Combine the results from Step 33 and Step 44 with the value of xx. We have 3636 (from 626^{2}) + 33 (value of xx) - 99 (from 323^{2}).
  6. Perform addition and subtraction: Perform the addition and subtraction to find the final value. 36+3−9=39−9=3036 + 3 - 9 = 39 - 9 = 30.

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