Simplifying (2−7m 6 ) 2
This expression involves simplifying a binomial raised to the power of 2. We can achieve this using the square of a binomial formula:
** (a - b) 2 = a 2 - 2ab + b 2 **
Let's break down the expression:
- a = 2
- b = 7m 6
Now, let's substitute these values into the formula:
(2 - 7m 6 ) 2 = 2 2 - 2(2)(7m 6 ) + (7m 6 ) 2
Simplifying each term:
- 2 2 = 4
- 2(2)(7m 6 ) = 28m 6
- (7m 6 ) 2 = 49m 12
Putting it all together:
(2 - 7m 6 ) 2 = 4 - 28m 6 + 49m 12
Therefore, the simplified form of (2−7m 6 ) 2 is 4 - 28m 6 + 49m 12.