Factor the following:
2 x^3 + x^2 - 18 x - 9
Factor terms by grouping. 2 x^3 + x^2 - 18 x - 9 = (2 x^3 + x^2) + (-18 x - 9) = x^2 (2 x + 1) - 9 (2 x + 1):
x^2 (2 x + 1) - 9 (2 x + 1)
Factor 2 x + 1 from x^2 (2 x + 1) - 9 (2 x + 1):
(2 x + 1) (x^2 - 9)
x^2 - 9 = x^2 - 3^2:
(2 x + 1) (x^2 - 3^2)
Factor the difference of two squares. x^2 - 3^2 = (x - 3) (x + 3):
Answer: (x - 3) (x + 3) (2 x + 1) thus the Answer is C.
Answer:
See Explanation!
Step-by-step explanation:
When multiplying fractions, you do not need a common denominator, and the entire fraction gets multiplied across, however when adding or subtracting fractions, you must have a common denominator, and then only compute the numerator, as the bases are already the same
the perimeter is:
4(4x - 6)
Applying distributive property:
4(4x) - 4(6)
16x - 24
Then, the perimeter can also be represented by 16x - 24 because 4(4x - 6) can be simplified to 16x - 24