The common factor of the expression y ( y − 6 ) + 9 ( y − 6 ) .

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.3, Problem 63E
To determine

Expert Solution

Answer to Problem 63E

The common factor of the expression y(y6)+9(y6) is (y6)(y+9) .

Explanation of Solution

Given information:

The expression y(y6)+9(y6) .

Formula used:

To factor out the common factor from a polynomial, find out the greatest common factor and express the polynomial as a product of the simpler ones.

Calculation:

Consider the given expression y(y6)+9(y6) .

Recall that to factor out the common factor from a polynomial, find out the greatest common factor and express the polynomial as a product of the simpler ones.

Here, the two terms have the common factor (y6) .

So, y(y6)+9(y6) can be written in simplified form as,

y(y6)+9(y6)=(y6)(y+9)

Thus, the common factor of the expression y(y6)+9(y6) is (y6)(y+9) .

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