Question

Use the formula a2 – b2 = (a + b)(a – b) to factor completely. What are the factors of 36x8 – 49?

A. (9x4 – 1)(4x2 + 49)
B. (36x4 – 7)(x2 + 7)
C. (6x4 – 7)(6x4 + 7
D. (6x8 – 7)(6x + 7)

Answer 1

Answer:its the Third option C

Explanation:

Answer 2

Answer: The correct option is (C)
`(6x^4-7)(6x^4+7).`

Step-by-step explanation: We are given to factor the following polynomial completely:

`P=36x^8-49~~~~~~~~~~~~~~~~~~~~`(i)`

We are given to use the following formula:

`a^2-b^2=(a+b)(a-b).`

We have, from equation (i) that

`P\\\\=36x^8-49\\\\=(6x^4)^2-7^2\\\\=(6x^4+7)(6x^4-7).`

Thus, the required factors are
`(6x^4-7)(6x^4+7).`

Option (C) is correct.