Question

Use the formula a2 – b2 = (a b)(a – b) to factor completely. what are the factors of 36x8 – 49? (9x4 – 1)(4x2 49) (36x4 – 7)(x2 7) (6x4 – 7)(6x4 7) (6x8 – 7)(6x 7)

Answer 1

The factors of 36x^8 – 49 are  (6x^4-7)(6x^4+7).

We are given to factor the following polynomial completely:

36x^8 – 49.

We have to find the complete factor of the given polynomial.

Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor

What is the formula for (a^2-b^2)?

The formula for (a^2-b^2)= (a+b) (a-b).

Therefore applying the given formula we have,

$F=(6x^4)^2-7^2$

$F=(6x^4)^2-7^2\\F=((6x^4)-7)(6x^4)+7)$

Thus, the required factors are

$F=((6x^4)-7)(6x^4)+7)$

Therefore,option (C) is correct.

To learn more about factors visit:

brainly.com/question/25829061