Question

Simplify the expression (4a^2 +2ab) - (2a^2 -ab + b^2) what is the coefficient of the term b^2

Answer 1

In the simplified expression, the coefficient of the term b² is -1.

Order to solve Math Operations

When you solve any Math Operations, it is necessary to be attentive to the order of the operations.

First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon,  you can solve multiplication or division operations from left to right. Finally, addition or subtraction  from left to right

See the order below

•       Parentheses
•       Exponents
•       Multiplication or Division from left to right
•       Addition or Subtraction from left to right

The question gives the expression (4a² +2ab) - (2a² -ab + b²). Therefore, for solving the expression you should follow the order of the math operations.

• Remove the Parentheses

       4a² +2ab -2a² +ab - b²

• Add similar terms

       2a²+3ab-b²

Like, there are no more similar terms. Therefore, you can represent the expression (4a² +2ab) - (2a² -ab + b²) by  the expression  2a²+3ab-b².

Learn more about the algebraic expression here:

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