Answer:
x
3
y
6
−
64
is the difference of two cubes and can be factored in the following pattern.
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
a
3
factors to a
b
3
factors to b
The pattern of the signs follows the acronym SOAP
S = same sign as the cubes
O = opposite sins of the cubes
AP = always positive
x
3
y
3
factors to xy
64
factors to 4
x
3
y
3
−
64
=
(
x
y
−
4
)
(
x
2
y
2
+
4
x
y
+
16
)
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
Here's how we construct the LCD:
Factor the denominators 6 and 8: 6 = 2*3 and 8 = 2*2*2
The LCD involves 2*2*2 as well as 3:
LCD: 2*2*2*3 = 24. Note that 24 is divisible by both 6 and 8. There is no smaller LCD that is divisible by 6 and 8 both.
Given:
Reese read twice as many pages Saturday than she read Sunday.
She read a total of 78 pages over the weekend.
To find:
The number of pages she read on Sunday.
Solution:
Let x be the number of pages she read on Sunday.
Reese read twice as many pages Saturday than she read Sunday. So, the number of pager she read on Saturday is 2x.
Total number of page she read over the weekend is:
She read a total of 78 pages over the weekend.
Therefore, Reese read 26 pages on Sunday.
Answer:
you subtract the number by 3
Step-by-step explanation:
the pattern is x-3 so the pattern is subtracting the number by 3 every time
