CALCULUS:  APPLIED APPROACH LOW COST MA
CALCULUS: APPLIED APPROACH LOW COST MA
10th Edition
ISBN: 9780357265161
Author: Larson
Publisher: CENGAGE L
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Chapter A5, Problem 1CP
To determine

To calculate: The simplified form of expression x2+8x20x2+11x+10.

Expert Solution & Answer
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Answer to Problem 1CP

Solution:

The simplified form of the given expression is x2x+1.

Explanation of Solution

Given Information:

The provided expression is x2+8x20x2+11x+10.

Formula used:

The operation with fractions:

xyyz=xz.

Take out the common factor:

xy+yz=y(x+z)

Calculation:

Consider the provided expression, x2+8x20x2+11x+10

Rewrite the above expression as:

x2+8x20x2+11x+10=x2+10x2x20x2+10x+x+10

Use the property xy+yz=y(x+z),

x2+8x20x2+11x+10=x2+10x2x20x2+10x+x+10=x(x+10)2(x+10)x(x+10)+1(x+10)=(x+10)(x2)(x+1)(x+10)

Now use the property xyyz=xz to simplify further

x2+8x20x2+11x+10=(x2)(x+1)

Therefore, the simplify form of provide equation is (x2)(x+1).

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