[Anurag]

x²+2√3+3

x²+√3x+√3x+3

x(x+√3)+√3(x+√3)

(x+√3)(x+√3)

(x + √3)²

[Anurag]

Here, we need to find differences between the given numbers.

The differences between the given numbers are:

91 – 43 = 48

183 – 91 = 92

183 – 43 = 140

Now, let’s find the Highest Common Factor of these differences (48, 92, 140) is:

48 = 2 * 2 * 2 * 2 * 3

92 = 2 * 2 * 23

140 = 2 * 2 * 5 * 7

HCF = 2 * 2 = 4

Answer: The greatest number that will divide 43,91 and 183 is 4.

[Anurag]

To find the value of x in the proportion 0.75 : x :: 5 : 8, we can use the concept of cross-multiplication.

The proportion can be written as: 0.75/x = 5/8

To solve for x, we can cross-multiply and then solve the resulting equation:

0.75 * 8 = x * 5

=> 6 = 5x

Dividing both sides of the equation by 5, we get:

6/5 = x

Therefore, x is equal to 6/5 or 1.2.

Answer: x is equal to 1.2 in the given proportion.