(b-7)2-b 2+7 При B=-13/14

2 min read Jun 16, 2024
(b-7)2-b 2+7 При B=-13/14

Simplifying Expressions with Substitution

This article explores how to simplify an expression by substituting a specific value for a variable.

Let's consider the expression (b - 7)² - b² + 7 and determine its value when b = -13/14.

Step 1: Substitute the value of 'b'

Replace each instance of 'b' in the expression with the given value, -13/14:

( -13/14 - 7 )² - ( -13/14 )² + 7

Step 2: Simplify the expression

Follow the order of operations (PEMDAS/BODMAS) to simplify the expression:

  1. Parentheses/Brackets: -13/14 - 7 = -111/14
  2. Exponents/Orders: (-111/14)² = 12321/196 and (-13/14)² = 169/196
  3. Multiplication and Division: (No operations in this step)
  4. Addition and Subtraction: 12321/196 - 169/196 + 7 = 12152/196 + 7 = 12850/196

Step 3: Simplify the result (optional)

The result can be simplified further by dividing both numerator and denominator by their greatest common factor, which is 2:

12850/196 = 6425/98

Therefore, the value of the expression (b - 7)² - b² + 7 when b = -13/14 is 6425/98.

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