Question

The three steps shown below were used to find an expression equivalent to 2/5 (15x- 30y) +10x

Answer 1

The answer is B, because 6x + 10x= 16x. So, the answer would be 16x-12y, which is your second step.

Answer 2

Answer:

option B is correct

Step 1. $6x - 12y + 10x$

Step-by-step explanation:

Given the expression: $\frac{2}{5} (15x-30y)+10x$

Using distributive property:  $a\cdot (b+c)=a\cdot b + a\cdot c$

Apply distributive property in the given expression we get;

$6x - 12y + 10x$

Combine like terms;

$16x - 12y$

Now, factor a number means to break it up into numbers that can be multiplied together to get the original number

$4\cdot 4x - 4 \cdot 3y$

$4(4x - 3y)$

Therefore, the expression could be used  step 1 as,   $6x - 12y + 10x$

Three steps are:

Step 1. $6x - 12y + 10x$

Step 2. $16x - 12y$

Step 3. $4(4x - 3y)$