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

Step-by-step 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.