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Chapter 7: Q. 7.9 (page 645)

Simplify5xx2+5x+6路x2-410x.

Short Answer

Expert verified

The simplest form of the given expression is(x-2)2(x+3).

Step by step solution

01

Step 1. Given information

The given expression is5xx2+5x+6路x2-410x

02

Step 2. Simplify

5xx2+5x+6路x2-410x=5x(x+3)(x+2)路(x-2)(x+2)(5脳2)xFactorizenumeratoranddenominator=5x(x-2)(x+2)(5)(2)x(x+3)(x+2)Multiplynumeratoranddenominator=(x-2)2(x+3)Removecommonfactorsofnumeratoranddenominator

Hence, the given expression is simplified asrole="math" localid="1644999982152" (x-2)2(x+3).

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