The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely.

81x2 – 49

The value of a is .

The value of b is .

The product of the prime factors is

a=9x

b=7

(9x-7)(9x+7)

Step-by-step explanation:

81x^2-49=(9x)^2 - 7^2=(9x-7)(9x+7)

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

3

step-by-step explanation: