Consider the polynomial identity (difference of squares):
(x+y)(x-y) = x² - y²
Set x =7 and y = 2 to obtain
(7+2)*(7-2) = 7² - 2²
9*5 = 49 - 4
45 = 49 - 4
This is the result required, obtained by using difference of squares.
Answer: Difference of squares.
12, Find the prime factorization of 60
60 = 2 × 2 × 3 × 5
Find the prime factorization of 144
144 = 2 × 2 × 2 × 2 × 3 × 3
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 3
So she started at 12 and ended at 14
14-12=2
she traveled for 2 hours
50miles per hour or 50m/h
(m=miles not minutes)
2 hours so
2h times 50m/h
100miles traveled
Answer:
Step-by-step explanation:
The total number of ways of selecting 3 gems of any kind without replacement is 35 * 34 * 33 = 39270
Now selecting 2 gems from 25 is 25C2
25 C 2 = 25 * 24/2 = 300
Selecting one good gem is 10
Total selection = 300 * 10 = 3000
P(gems) = 3000 / 39270
P(gems) = 300/3927
P(gems) = 100/1309
X-4y=-2
-x. -x
4y=-2-x
4y=x-(-2)
/4. /4
Y=4x+2/4
3x-y=5
-3x. -3x
-y=5-3x
-y=-3x+5
/-1. /-1
Y=3x-5
