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Evaluate the expression for the given values.
8x^(2)+7y; x=4,y=9

Evaluate the expression for the given values.\newline8x2+7y;x=4,y=9 8 x^{2}+7 y ; \quad x=4, y=9

Full solution

Q. Evaluate the expression for the given values.\newline8x2+7y;x=4,y=9 8 x^{2}+7 y ; \quad x=4, y=9
  1. Identify Expression and Values: Step Title: Identify the Expression and Substitution Values\newlineConcise Step Description: Identify the algebraic expression and the values to be substituted for the variables xx and yy.\newlineStep Calculation: The expression is 8x2+7y8x^2 + 7y, and the values to be substituted are x=4x = 4 and y=9y = 9.
  2. Substitute Values: Step Title: Substitute the Values for xx and yy Concise Step Description: Substitute x=4x = 4 and y=9y = 9 into the expression 8x2+7y8x^2 + 7y. Step Calculation: 8(4)2+7(9)8(4)^2 + 7(9)
  3. Calculate Power of x: Step Title: Calculate the Power of xx\newlineConcise Step Description: Calculate the square of xx, which is 424^2.\newlineStep Calculation: 42=164^2 = 16
  4. Multiply with Coefficient: Step Title: Multiply the Result with the Coefficient of xx\newlineConcise Step Description: Multiply the result from the previous step with the coefficient of xx, which is 88.\newlineStep Calculation: 8×16=1288 \times 16 = 128
  5. Multiply Coefficient of y: Step Title: Multiply the Coefficient of y by yy\newlineConcise Step Description: Multiply the coefficient of yy, which is 77, by the value of yy, which is 99.\newlineStep Calculation: 7×9=637 \times 9 = 63
  6. Add Results: Step Title: Add the Results\newlineConcise Step Description: Add the results from the multiplication of the coefficient of xx by x2x^2 and the coefficient of yy by yy.\newlineStep Calculation: 128+63=191128 + 63 = 191