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91Ó°ÊÓ

Simplify each expression. State the excluded values of the variables.

z−6z2−3z−18

Short Answer

Expert verified

The given expression can be simplified to 1z+3. Excluded values of the variable are 6and localid="1648110564924" -3.

Step by step solution

01

Step 1. Factor.

Factor the given expression.

z−6z2−3z−18=z−6z−6z+3=1z+3

02

Step 2. Exclude the values.

Exclude the values for which z2−3z−18equals 0.

z2−3z−18=0z−6z+3=0

03

Step 3. Zero product property.

Apply zero product property to above equation.

z−6=0orz+3=0z=6z=−3

Therefore,z≠6 and z≠−3.

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