Answer:
(x - 4)^2/(7 x^3 + 12)
Step-by-step explanation:
Simplify the following:
(x^2 - 8 x + 16)/(7 x^2 x + 12)
x^2×7 x = x^(2 + 1)×7:
(x^2 - 8 x + 16)/(7 x^(2 + 1) + 12)
2 + 1 = 3:
(x^2 - 8 x + 16)/(7 x^3 + 12)
The factors of 16 that sum to -8 are -4 and -4. So, x^2 - 8 x + 16 = (x - 4) (x - 4):
((x - 4) (x - 4))/(7 x^3 + 12)
(x - 4) (x - 4) = (x - 4)^2:
Answer: (x - 4)^2/(7 x^3 + 12)
