BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 1.3, Problem 50E
To determine

To calculate: The simplified value of the expression x32(x1/x) .

Expert Solution

Answer to Problem 50E

The value of the expression x32(x1/x) is 2x35x2x+1 .

Explanation of Solution

Given information:

The expression x32(x1/x) .

Formula used:

To multiply two polynomial expressions, first multiply each term of first polynomial by second polynomial and then add the results. This property is known as distributive property, which is mathematically expressed as,

  a(c+d)=ac+ad

Law of exponent which states that to find the product of two terms with same base and different exponents, then add the exponents only keeping the base same, which can be written mathematically as,

  xmxn=xm+n

Calculation:

Consider the given expression x32(x1/x) .

Recall that to multiply two polynomial expressions, first multiply each term of first polynomial by second polynomial and then add the results. This property is known as distributive property, which is mathematically expressed as,

  a(c+d)=ac+ad

Apply it,

  x32(x1/x)=xx32x321/x=x32x12x32x12=x2x

Thus, the value of the expression x32(x1/x) is x2x .

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