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Chapter 1: Q34. (page 13)

Evaluate each expression if g=2, r=3and t=11.

t2+8rt+r2

Short Answer

Expert verified

The value of the expression t2+8rt+r2is 394.

Step by step solution

01

Step 1. Evaluation of algebraic expression.

In order to evaluate an expression, substitute the values for the variables and simplify using the order of operations. The order of operations is in order:

  1. Evaluate the expressions inside the bracket
  2. Evaluate the powers
  3. Multiply and/or divide
  4. Add and/ or subtract

The evaluation takes place from left to right.

02

Step 2. Replace the variables.

Substitute 2 for g, 3 for r, and 11 for t into the equation t2+8rt+r2.

t2+8rt+r2=112+8鈰�3鈰�11+32

03

Step 3. Apply the order of operations.

As per the order of operations, first, evaluate the powers followed by other operations.

t2+8rt+r2=112+8鈰�3鈰�11+32=121+8鈰�3鈰�11+9=121+264+9=394

Therefore, the expression is equal to 394.

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