Question

Which expression is equivalent to (3b 2r) (4b r)? 7b 2r 7b 3r 12b 2r 12b 3r.

Answer 1

To add the variables, add the coefficients with same variable. The expression which is equivalent to given expression is $7b+3r$. The option 2 is the correct option.

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 expression given in the problem is,

$(3b+2r)+(4b+r)$

Let the resultant expression of the above expression is $x$. thus,

$x=(3b+2r)+(4b+r)$

To add the algebraic terms open the brackets first,

$x=3b+2r+4b+r$

Separate the same variable terms,

$x=3b+4b+2r+r$

To add the variables, add the coefficients with same variable. Thus,

$x=7b+3r$

Hence, the expression which is equivalent to given expression is $7b+3r$. The option 2 is the correct option.

Learn more about the equivalent expression here;

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