On his first six tests Paulo's average score was 86. On his next four tests his average score was 94. What was his average score
1 answer:
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From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is 
, and 
.
There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.
That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are
and 
. The difference of those two cubes is:
In our problem, a = 4 (since = 64) and b = y (since 
. Plug these values into the rule to find the factor of 
:
-----
Answer:
There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.
That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are
In our problem, a = 4 (since
-----
Answer:
