Answer:
Step-by-step explanation:
13) x⁴-12x² +36
(a-b)² = a²-2ab+b²
a = x² ; b = 6
(x²)² - 2 * x² * 6 + 6² = (x² - 6)²
14) w⁴- 14w² - 32 = w⁴+ 2w² - 16w² - 32 = w² (w² + 2) - 16 (w²+2)
= (w² + 2) (w² -16 )
15) k³ + 7k² - 44k = k ( k² + 7k -44) = k ( k+11 ) ( k-4 )
16) 2a³ +28a²+96a =2a(a²+14a+48) = 2a(a+6)(a+8)
17) -x³ +4x² +21x = (-x) ( x² - 4x - 21) = (-x)(x-7)(x+3)
18) m⁶ - 7m⁴ -18m² = m² ( m⁴-7m²-18) = m² (m²-9)(m²+9)
= m² (m+1) (m-1)(m²+9)
19) 9y⁶ +6y⁴ + y²= y² ( 9y⁴+6y²+1) = y² (3y²+1)²
20) 8c⁴+10c² -3 = (4c +1)(2c-3)
Lo que se divide se llama dividendo, que se divide por el divisor, y el resultado se llama cociente. En el ejemplo, 20 es el dividendo, 5 es el divisor y 4 es el cociente.
For every 3 cups of peanuts there are 2 cups of chocolate
9/3 = 3 so 3*2 = 6
For 9 cups of peanuts there are 6 cups of choclate
Step-by-step explanation:
1.) First, you need to take the whole numbers (9 and 1) and set them aside.
2.) Multiply the numerators from each fraction by one another. The numerators are the numbers on the top of the fraction. (Whatever you get on that will be the numerator of the answer!)
3.) Multiply the denominators by each other as well. The denominators are the numbers on the bottom. This will be the denominator of your answer.
4.) Now, you need to multiply your whole numbers (9 and 1) together.
5.) Then, simplify or reduce your answer. (this can't be simplified, as it is already in its simplest form)
Your answer will be 9 1/66.
Your work should look like this in the end: