Answer:
B
Step-by-step explanation:
-10 + 3x - x - 7x + 5x + 7 + 2x
combine like terms
-10 + 3x - x - 7x + 5x + 7 + 2x
-3 + 3x - x - 7x + 5x + 2x
the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x
= 2x - 3
Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
135inches2
Step-by-step explanation:
by multiplying both length and width you can get the sum
Answer:
The greatest common factor is 8xyz
Step-by-step explanation:
To find the greatest common factor of an expression involving numbers and variables, we find each greatest common factor separately.
Numbers:
48, 24 and 56.
We find the greatest common factor factoring them simultaneously while all can be factored by the same number. The GCF is the multiplication of the factors. So
48 - 24 - 56|2
24 - 12 - 28|2
12 - 6 - 14|2
6 - 3 - 7|
They cant be factored by the same factors anymore, so the numeric GCF is 8.
Variables:
For each variable, the GCF will be the lowest exponent.
Variable x: We have exponents 1, 2 and 2. So the GCF is 
Variable y: We have exponents 3, 3 and 1. So the GCF is 
Variable z: We have exponents 1, 1 and 1. So the GCF is 
The greatest common factor is:
