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

step 1: ?

step 2: 16x - 12y

step 3: 4(4x - 3y)

which expression could be used as step 1?

A) 2/5 (25x - 30y)
B)6x -12y +10x
C)6x - 30y +10x
D)15(x -2y) + 10x

Respuesta :

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

Answer:

option B is correct

Step 1. [tex]6x - 12y + 10x[/tex]

Step-by-step explanation:

Given the expression: [tex]\frac{2}{5} (15x-30y)+10x[/tex]

Using distributive property:  [tex]a\cdot (b+c)=a\cdot b + a\cdot c[/tex]

Apply distributive property in the given expression we get;

[tex]6x - 12y + 10x[/tex]

Combine like terms;

[tex]16x - 12y[/tex]

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

[tex]4\cdot 4x - 4 \cdot 3y[/tex]

[tex]4(4x - 3y)[/tex]

Therefore, the expression could be used  step 1 as,   [tex]6x - 12y + 10x[/tex]

Three steps are:

Step 1. [tex]6x - 12y + 10x[/tex]

Step 2. [tex]16x - 12y[/tex]

Step 3. [tex]4(4x - 3y)[/tex]