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Chapter 7: Q. 7.25 (page 656)

Simplify:

9x+14x+7+x2x+7

Short Answer

Expert verified

The simplified expression isx+2butx鈮�-7.

Step by step solution

01

Step 1. Given Information

The given expression is9x+14x+7+x2x+7.

02

Step 2. Add the numerator

  • As the denominator is same for both the terms, add the numerator and place over the common denominator.

9x+14x+7+x2x+7=9x+14+x2x+7=x2+9x+14x+7

03

Step 3. Factor the Numerator

  • Factor the expression in the numerator and then cancel out the common terms from numerator and denominator.

x2+9x+14x+7=x+7x+2x+7=x+7x+2x+7=x+2

  • So, the resultant expression is x+2but the denominator of the given expression wasx+7, so,x鈮�-7.

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