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?

A2/5 (25x - 30y)

B)6x -12y +10x

C)6x - 30y +10x

D)15(x -2y) + 10x

Verified Answer :

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. \(6x - 12y + 10x\)

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. \(4(4x - 3y)\)