(2) (x^2 + 6)(x^2 + 6) (4) (x^2 + 6)(x^2 - 6)
The expression is equivalent to x^4 - 12x^2 + 36 is (x^2 - 6)(x^2 - 6) correct.
We have given that
x^4 - 12x^2 + 36
We have to determine
Which expression is equivalent to x^4 - 12x^2 + 36.
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
(x^2 plus or minus 6)(x^2 plus or minus 6)
an easy way to do this is to only look at plus or minus 6
x^4 - 12x^2 + 36 (-12 and 36)
6 x 6 = 36
6 + 6 ≠ -12
(x^2 + 6)(x^2 + 6) is incorrect
6 x -6 ≠ 36
6 + -6 ≠ -12
(x^2 - 6)(x^2 + 6) is incorrect
-6 x -6 = 36
-6 + -6 = -12
Therefore the option (x^2 - 6)(x^2 - 6) is correct
The expression is equivalent to x^4 - 12x^2 + 36 is (x^2 - 6)(x^2 - 6) correct.
To learn more about the expression visit:
#SPJ2
x = y + 3
A) x = (7 – x) + 3
B) x – (y + 3) = 7
C) (y + 3) – y = 7
D) x – y = y + 3
Answer:
The crew built a 10-kilometer road in 3 3/4 days. To find out how many kilometers of road they built each day, we can divide the total length of the road by the number of days they worked.
First, we need to convert the mixed number of days to an improper fraction:
3 3/4 = (4 x 3 + 3) / 4 = 15/4
Now we can divide the length of the road by the number of days:
10 km ÷ (15/4) days = (10 km) x (4/15 days) = **2.67 km/day**
Therefore, the crew built approximately **2.67 kilometers** of road each day.
I hope this helps!
Step-by-step explanation: