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Chapter 2: Q50. (page 80)

Use the distributive property to write an equivalent variable expression. (Lesson 2.2)

鈭�4(1鈭�5u)

Short Answer

Expert verified

The equivalent variable expression is鈭�4+20u .

Step by step solution

01

Step-1 – Distributive property

For any real numbers a, b, and c, the distributive property is given by:

a(b+c)=a鈰�b+a鈰�c

02

Step-2 – Example of distributive property

To evaluate the expression3(4+t) , distribute 3 to both the terms inside the parenthesis and remove the parenthesis sign to get

3(4+t)=3鈰�4+3鈰�t=12+3t

03

Step-3 – Rewrite the given expression using distributive property

To write an equivalent variable expression for the given expression鈭�4(1鈭�5u), distribute 鈥� 4 to both the terms inside the parenthesis and simplify further by multiplying the numbers as shown below

鈭�4(1鈭�5u)=鈭�4鈰�(1)鈭�4鈰�(鈭�5u)=鈭�4+20u.

Thus, the equivalent variable expression for the given expression is鈭�4+20u .

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