Question

Which expression is equivalent to 2 (a 2 b) minus a minus 2 b? 3 a 2 b 3 a minus 2 b a minus 2 b a 2 b.

Answer 1

The expression is equivalent to  2(a + 2b) minus a minus 2b expression and gives the same result as the given expression is $a+2b$.

What is equivalent expression?

Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The given expression in the problem is,

$2 (a+ 2 b)-a-2b$

Let the expression which is equal to the given expression is $f(a,b)$. Thus,

$f(a,b)=2 (a+ 2 b)-a-2b$

In the above expression the term inside the bracket is in multiple with the number two.

Thus open the bracket by multiplying each term inside the bracket with number 2 as,

$f(a,b)=2\times a+ 2\times2 b-a-2b\\f(a,b)=2a+4b-a-2b$

In the algebraic expression the term with same coefficient or variable added or subtract from each other.

In the above expression the solve the term a and b separately as,

$f(a,b)=2a-a+4b-2b\\f(a,b)=a+2b$

Thus the expression is equivalent to given expression and gives the same result as the given expression is $a+2b$.

Learn more about the equivalent expression here;

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