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Chapter 2: Q. 47 (page 80)

Use the distributive property to write an equivalent variable expression.

(m−5)(−6)

Short Answer

Expert verified

The equivalent variable expression is−6m+30.

Step by step solution

01

. Distributive property

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

a(b+c)=aâ‹…b+aâ‹…c

02

. Example of distributive property

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

3(4+t)=3â‹…4+3â‹…t=12+3t

03

. Rewrite the given expression using distributive property

To write an equivalent variable expression for the given expression(m−5)(−6), distribute – 6 to both the terms inside the parenthesis and simplify further by multiplying the numbers as shown below

(m−5)(−6)=(m+(−5))(−6)=(m)⋅(−6)+(−5)⋅(−6)=−6m+30.

Thus, the equivalent variable expression for the given expression is−6m+30 .

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