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Q5.

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Pre-algebra
Found in: Page 79
Pre-algebra

Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Simplify the expression.10y3(6y)

The simplified expression is 13y18 .

See the step by step solution

Step by Step Solution

Step-1 – Apply the concept of terms and like terms

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)=ab+ac

Step-2 – Use distributive property

To simplify the given expression 10y3(6y), first use the distributive property to remove the parenthesis as follows

10y3(6y)=10y363(y)=10y18+3y

Step-3 – Group and combine like terms

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

10y3(6y)=10y18+3y=10y+3y18=(10+3)y18=13y18

Thus, the simplified expression is 13y18 .

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