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Chapter 7: Q. 27 (page 651)

Simplify rational expression isz2-9z+2016-z2

Short Answer

Expert verified

Simplified form of the rational expressionz2-9z+2016-z2is-(z-5)(z+4),z鈮�-4

Step by step solution

01

.  Given information

Here given rational expression is z2-9z+2016-z2.

We have to simplify the given rational expression.

02

. Explanation about simplification of rational expression

Here to simplify the rational expression z2-9z+2016-z2first factor both numerator and denominator separately and find out the common factors. We get z2-9z+2016-z2=(z-4)(z-5)(4-z)(4+z), notice that factors that are opposite to its and we know that an expression opposite to its divide is -1.

03

. Simplification of rational expression 

Simplified form of multiplied given expression isz2-9z+2016-z2=z2-9z+2016-z2=(-1)(z-4)(z-5)(z-4)(z+4)divideoutthecommonfactor(z-4)=-(z-5)(z+4),z鈮�-4

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