Answer:
+ 8x³ + 12x² - 16x + 4
Step-by-step explanation:
Given
[(x² + 4x) - 2 ]² ← simplify contents of bracket
= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis
= + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms
= + 8x³ + 12x² - 16x + 4
Answer:
Step-by-step explanation:
We know a triangle adds up to 180 so:
75+36+ ? = 180
111+ ? =180
? = 69
To find out x, we know that a straight line adds up to 180 so again:
x +69 = 180
x = 111
<span> -k - (-8k) = -k + 8k = 7k</span>
Arithmetic sequence: must have a constant common difference.
3/20-1/10=(3-2)/20=1/20
5/30-3/20=(10-9)/60=1/60
Difference is not constant, so no.
Geometric sequence: must have a common ratio
30/20 / (1/10) = 15
5/30 / (3/20) = 100/90 = 10/9
ratio is not constant, so no.
The answer is (c) neither geometric nor arithmetic
Answer:
3^15/5^16
Step-by-step explanation:
(3^3 x 3^6 x 5^-4) / (3^-6 x 5^12)
= (3^3 x 3^6 x 3^6) / (5^12 x 5^4)
= 3^15 / 5^16
