I need help with my assignment. What is 5(x-45)^4 ???
( a - b ) ^ 4 =
a ^ 4 - 4 a ^ 3 b + 6 a ^ 2 b ^ 2 - 4 a b ^ 3 + b ^ 4
( x - 45 ) ^ 4 =
x ^ 4 - 4 * x ^ 3 * 45 + 6 * x ^ 2 * 45 ^ 2 - 4 * x * 45 ^ 3 + 45 ^ 4 =
x ^ 4 - 4 * 45 * x ^ 3 + 6 * 2,025 * x ^ 2 - 4 * 91,125 + 4,100,625
x ^ 4 - 180 x ^ 3 + 12,500 x ^ 2
- 364,500 x + 4,100,625
5 ( x - 45 ) ^ 4 =
5 * ( x ^ 4 - 180 x ^ 3 + 12,500 x ^ 2
- 364,500 x + 4,100,625 ) =
5 x ^ 4 - 900 x ^ 3 + 60,750 x ^ 2 -1,822,500 x + 20,503,125