Question

6.07 which expressions are equivalent to 3(x + 3y + 2x - y

Answer 1

Answer:

$3(3x +2y)$ and $9x +6y$ are equivalent to $3(x + 3y + 2x - y)$

Step-by-step explanation:

Given

$3(x + 3y + 2x - y)$

Required

Possible Equivalents

To start with; we need to simplify the expression in the bracket;

$3(x + 3y + 2x - y)$

Collect like terms

$3(x + 2x + 3y - y)$

$3(3x +2y)$

At this point; we can conclude that $3(3x +2y)$ is equivalent to $3(x + 3y + 2x - y)$

Solving further, by expanding the bracket

$3(3x +2y)$

$3*3x +3*2y$

$9x +6y$

At this point; we can also conclude that $9x +6y$ is equivalent to $3(x + 3y + 2x - y)$

Hence,

$3(3x +2y)$ and $9x +6y$ are equivalent to $3(x + 3y + 2x - y)$