1) 5t^2 (1 + 6t)
2) 4x^3y^5 (5x + 2y)
3) (5r + 6x)(5r - 6x)
4) (x + 10)(x - 10)
5) (x - 3)^2
6) (x -5)(x - 3)
7) 3(16r^3 + 9)
8) 8(c^3 + 8d^3)
9) (2r - 125)(4r^2 + 250r + 15625)
10) (c + 3)(c - 1)
Additional information to complete the question:
How long does it take for a short pulse of light to travel from one end of the glass to the other?
Express your answer in terms of some or all of the variables f and L. Use the numeric value given for n in the introduction.
T = ___________ s
Answer:

Step-by-step explanation:
Given:
Thickness og glass = L
Index of refraction n=1.5
Frequency = f

λ(air) 
λ(glass) = λ(air) / n
= 
= 
= 
V(glass) = fλ(glass)


Answer:
x = 3 units
SV = 2 units
Step-by-step explanation:
In
QR and ST are chords such that:
QR = ST = 4
That is both the chords are equal in measure.
Equal chords are at equal distance from the center of the circle. Therefore,
VZ = UZ
4x - 6 = 6
4x = 6 + 6
4x = 12
x = 12/4
x = 3 units
Since, perpendicular dropped from the center of the circle bisects the chord.

Answer:
36 teachers
Step-by-step explanation:
total students=128+121+135=384
groups of 32=384/8=12
teachers=12x3=36
Answer:

Step-by-step explanation:
The given expression is

To find the equivalent expression of the given one, we just have to factor.
In this case, the only thing we can do to rewrite is to extract the common greatest factor, which is 6

Therefore, the equivalent expression is
