Question

Which expression is equivalent to 13x(9y – 12)? A. 3xy − 4 B. 3xy − 4x C. 3xy − 12 D. 3y − 4x

Answer 1

B. 3xy − 4x

Explanation:

step one:

Given the expression 13x(9y – 12) we are expected to expand the expression to obtain a similar expression given in the options

step two

we proceed by

`= 13x(9y-12)\\\\=(117xy-156x)`

step three

we proceed to both terms in the expression

bt a common factor which is 39

`(117xy)/(39)-(156x)/(39)`

`3xy-4x`

From our analysis, the option D matches the expression