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Chapter 3: Q75. (page 115)

Simplify each expression.

3y-11-6y+12

Short Answer

Expert verified

The simplified form of the expression is -3y-23.

Step by step solution

01

Step-1 – Apply the concept of like terms

In an expression, the terms containing the same variable are like terms.

02

Step-2 – Example for the like terms

In the expression 4p-2q+p+3q, the like terms are the terms which contain variable. So, the terms containing the variable p are 4pandp and the terms containing the variable q -2qand3q.

03

Step-3 – Simplify the expression

Consider the provided expression.

3y-11-6y+12

Open the brackets. Recall that negative sign when multiplied with positive results in negative sign.

3y-11-6y+12=3y-11-6y-12

Group the like terms. Constant terms together and terms with variable x together

(3y鈭�11)鈭�(6y+12)=3y鈭�11鈭�6y鈭�12=3y鈭�6y鈭�11鈭�12=鈭�3y鈭�23

Hence, the simplified form of the expression 3y-11-6y+12 is -3y-23.

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