Answer:
Step-by-step explanation:
a) 4x¹⁰ = 2² * x¹⁰
64x² = 2⁶ *x²
GCF = 2² * x² = 4x²
b) 4x¹⁰ - 64x² = 4x²*(x⁸ - 16)
=4x² *[ (x⁴)² - 4²]
= 4x² * (x⁴ + 4) (x⁴ - 4)
= 4x² * (x⁴ + 4)* [(x²)²- 2²]
=4x² * (x⁴ + 4) * (x² + 2)(x² - 2)
1. Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd
a^2b^2+8ab−9ab−72
2. Collect the like terms
a^2b^2+(8ab−9ab)−72
3. Simplify
a^2b^2-ab-72
Hope this helps
Answer:
C. 132
Step-by-step explanation:
We assume all angle measures are in degrees. The vertical angles are equal in measure, so ...
4x = x +36
3x = 36
x = 12
x +36 = 48
y = 180 -48 = 132
The value of y is 132.
Answer:
P(compact cars) = 4/25
Step-by-step explanation:
We know that there are 13 trucks, 8 vans, and 4 compact cars.
Let P denotes the probability of an event
Now we are asked to find the probability of compact cars
Number of favorable events = number of compact cars = 4
total number of outcomes = 13+8+4 = 25
hence, P(compact cars) = number of favorable events/total outcomes
=4/25
