Factoring:
Theory : A difference of two perfect cubes,
can be factored into

Proof : 




Check : 8 is the cube of 2
Check : 27 is the cube of 3
Check :
is the cube of
Check :
is the cube of 
Factorization is :

Answer:
a^2 +a -6
Step-by-step explanation:
(a + 3)(a - 2)
FOIL
first: a*a = a^2
outer: -2*a = -2a
inner: 3*a =3a
Last : -2*3 = -6
Add them together
a^2 -2a+3a -6
Combine like terms
a^2 +a -6
Answer:yes
Step-by-step explanation:
<BAC=<BDE
<BCA=BED
Answer:
Since a Pythagorean triple is three positive integers a, b, and c such that (a^2)+(b^2)=(c^2), first take the sum of the squares of the two legs and make an estimate. For example, 3, 4, and 5 is a Pythagorean triple since 9+16=25.
Step-by-step explanation:
Answer:
12.5%
Step-by-step explanation:
There are two types of spinners here and the outcome of them is independent. That means
P(odd number,C) = P(odd number) * P(C)
There are two odd numbers out of four numbers in the first spinner. The chance of odd number will be:
P(odd) = 2/(2+2)= 1/2= 50%
There are four letters and the desired outcome is C. The chance for C will be:
P(C)= 1/4= 25%
Then the chance will be:
P(odd number,C) = P(odd number) * P(C)
P(odd number,C) =50% * 25% = 12.5%