Find the least common denominator for these two rational expressions s^3/s^2-2s+1 -2/s^2-4s+3

Step-by-step explanation:

Factor both denominators to see which factors are missing from each denominator. Then multiply both fractions so they have the same LCD.

s⁴-6s³+12s²-10s+3

Step-by-step explanation:

s³/(s²-2s+1) - 2/(s²-4s+3)

The denominators are (s²-2s+1) and (s²-4s+3). Since one is not a multiple of the other, the least common denominator will be their product.

(s²-2s+1)(s²-4s+3) = s⁴-4s³+3s²-2s³+8s²-6s+s²-4s+3

                             = s₄ +(-4s³-2s³)+(+3s²+8s²+s²)+(-6s-4s)+3

                              = s⁴-6s³+12s²-10s+3

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere