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Q5.

Expert-verifiedFound in: Page 79

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

**S****implify the expression.$10y-3(6-y)$**

The simplified expression is $13y-18$ .

In an algebraic expression, **terms** are separated by plus or minus signs.

The term **coefficient** refers to the number in front of the variable in any term of the expression.

A **constant **term is the number which have no variable associated with it.

**Like terms** are the terms which have identical variable parts with same exponent on it. Constants are considered to be like terms as well.

Distributive property: $a(b+c)=a\cdot b+a\cdot c$

To simplify the given expression $10y-3(6-y)$, first use the distributive property to remove the parenthesis as follows

$\begin{array}{c}10y-3(6-y)=10y-3\cdot 6-3\cdot (-y)\\ =10y-18+3y\end{array}$

Now to simplify above expression further, group the like terms and combine them as shown below

$\begin{array}{c}10y-3(6-y)=10y-18+3y\\ =10y+3y-18\\ =(10+3)y-18\\ =13y-18\end{array}$

Thus, the simplified expression is $13y-18$ .

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