Binomial theory : ( a - b ) ^3 = a^3 - 3a^2b + 3ab^2 - b^3 ;
Then, ( 2y - 3x ) ^3 = 8y^3 - 36y^2x + 54yx^2 - 27x^3
Answer:
(x+y)²
Step-by-step explanation:
Given the expressions (x + y) and (x + y)².
We are to find the LCM of (x + y) and (x + y)²
Taking the factors as shown
(x+y ) || (x + y) (x + y)²
(x+y ) || 1 (x+y)
|| 1 1
Multiplying both factors to get the LCM
= (x+y)(x+y)
= (x+y)²
<em>Hence the LCM of (x + y) and (x + y)² is (x+y)²</em>
Answer: 3 different ways
Those three ways, I'll label as A, B, and C
A) Buying the 78 cookies one at a time
B) Buying 6 packs of the 13-count cookies, so 13*6 = 78 cookies total.
C) Buying 2 packs of the 39-count cookies, so 2*39 = 78 cookies total
--------
For option A, we can imagine a rectangle that is 1 unit high and 78 units long giving an area of 1*78 = 78. Or we can imagine a single row of 78 cookies in this row.
In option B, we can have a rectangle that is 13 by 6, giving an area of 78. Or We could have 6 rows of 13 cookies per row (each row representing a package of cookies).
Option C would be similar to B, instead there would be 2 rows of 39 cookies per row.
The length of ND = 3 units
The length of N'D' = 6
6 / 3 = 2
The scale factor is 2
Answer:
its a three in seven chance, since there are seven total outcomes and there is only one favorable outcome. Hope that helps.
Step-by-step explanation:
