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Chapter 1: Q 1.57. (page 48)

Simplify:

(a) 3a4鈭�89

(b)3a4鈰�89

Short Answer

Expert verified

Part (a) The obtained result is27a鈭�3236.

Part (b) The obtained result isrole="math" localid="1644493880508" 2a3.

Step by step solution

01

Part (a) Step 1. Find the LCD of the denominator.

Consider the given expression.

3a4鈭�89

Find the factor of 4 and 9.

9=3脳34=2脳2LCD=2脳2脳3脳3炉=36

02

Part (a) Step 2. Rewrite the expression.

Write the fraction as an equivalent fraction LCD.

3a4鈭�89=3a路94路9鈭�8路49路4=27a36鈭�3236

Subtract the numerators and place the difference over the common denominators.

27a36鈭�3236=27a-3236

03

Part (b) Step 1. Multiply the fractions.

Since the given operation is multiplication. Thus,

3a4路89=3a路84路9

04

Part (b) Step 2. Cancel the common factors.

Factor the number and cancel the common factor from numerators and denominators.

3a路84路9=3a路4路24路3路3=a路23=2a3

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