Question

Simplify the following (7m – 3y) – (2m + 6y)

Answer 1

7y2

———

2m9

Explanation:

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)". 2 more similar replacement(s)

Step by step solution :

Step 1 :

y4

Simplify ——

2

Equation at the end of step 1 :

y4

(((7 • (m-3)) • ——) • m(-6)) • y(-2)

2

Step 2 :

Equation at the end of step 2 :

y4

((7m(-3) • ——) • m(-6)) • y(-2)

2

Step 3 :

Equation at the end of step 3 :

7y4

(——— • m(-6)) • y(-2)

2m3

Step 4 :

Dividing exponential expressions :

4.1 m(-6) divided by m3 = m((-6) - 3) = m(-9) = 1/m9

Equation at the end of step 4 :

7y4

——— • y(-2)

2m9

Step 5 :

Multiplying exponential expressions :

5.1 y4 multiplied by y(-2) = y(4 + (-2)) = y2

Final result :

7y2

———

2m9

Answer 2

`5m-9y`

Explanation:

`7m-3y-(2m+6y)`

Distribute the negative sign to 2m+6y.

`7m+-3y+-2m+-6y`

Combine the like terms.

`7m+-2m+-3y+-6y`

`5m-9y`