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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 8: Q 146 (page 940)

Subtract $\frac{z^{2}}{z + 2} - \frac{4}{z + 2}$

Short Answer

Expert verified

The required expression is $z - 2$

Step by step solution

01

Given information

The expression given is $\frac{z^{2}}{z + 2} - \frac{4}{z + 2}$

02

Simplifying the expression

The given expressions have the same denominators, combining the terms:

$\frac{z^{2} - 4}{z + 2}$

Factorizing the numerator:

$\frac{(z + 2) (z - 2)}{z + 2}$

Cancelling the common factor from numerator and denominator:

$z - 2$

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