Question 1: 60x + 25 + 60y
The correct factorization would be (5x - 4)(25x^2 + 20x + 16).
The law of factoring cubes states that we use the following formula when we have two cubes being subtracted by one another.
(a - b)(a^2 + ab + b^2)
If we take the cube root of 125x^3 we get 5x, which will be our a value. If we take the cube root of 64, we get 4, which will be our b value. Then we plug in to the formula.
(5x - 4)((5x)^2 + (5x)(4) + 4^2)
(5x - 4)(25x^2 + 20x + 16)
I think the problem with your second answer is that you just did not properly multiply the 5x and the 4 to get 20x (instead you got 15x).
Answer: 
and 
Step-by-step explanation:
For this exercise it is important to remember that Whole numbers Set contains the positive numbers and zero with no fractional part and with no decimal part.
Rational numbers are those numbers that can be written as a fraction, in this form:
Where "a" is the numerator and "b" is the denominator. Both are integers.
Then, given the following fraction:
You can express it as a decimal number by dividing the numerator 31 by the denominator 5:
Based on the definition of Whole numbers, you can identify that:
So the given fraction lies between the following Whole numbers:
and
Answer:
B!
Step-by-step explanation:
we know that (x-5) and (y-6) must add up to 129 because 180-51 is 129
now let's plug in the values to see
51-5= 66 63-6 = 57
57+66 is 123, not this one, let's repeat the same step
77-5 is 72, 63-6 is 57, these added is 129
