Question

(9-6m)*(9+6m)+6m*(6m-5)=?

Answer 1

9²-(6m)²+(6m)²-30m= 81-30m

Answer 2

To simplify the given expression, follow these steps:

1. Distribute the terms in the first bracket: (9 - 6m) * (9 + 6m) = 9 * 9 + 9 * 6m - 6m * 9 - 6m * 6m

2. Simplify the expression in the first step: = 81 + 54m - 54m - 6m * 6m

3. Now simplify the second bracket: 6m * (6m - 5) = 6m * 6m - 6m * 5

4. Simplify the expression in the second step: = 36m^2 - 30m

5. Now, put both simplified expressions together and combine like terms: (9 - 6m) * (9 + 6m) + 6m * (6m - 5) = (81 + 54m - 54m - 6m * 6m) + (36m^2 - 30m)

6. Further simplify by canceling out like terms: = 81 + (36m^2 - 6m * 6m) - 30m

7. Simplify the middle term: = 81 + (36m^2 - 36m^2) - 30m

8. The middle term cancels out, leaving us with: = 81 - 30m

So, the simplified expression is: 81 - 30m.