What is the factorization of 121b4 − 49? (11b − 7)(11b − 7) (11b + 7)(11b − 7) (11b2 − 7)(11b2 − 7) (11b2 + 7)(11b2 − 7)

Factorization of 121b⁴ − 49 is (11b² + 7)(11b² - 7)

Equation 121b⁴ − 49

Factorization of 121b⁴ − 49

⇒ 121b⁴ − 49

⇒ (11b²)² - 7²

⇒ (11b² + 7)(11b² - 7)

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Step-by-step explanation:

121b^4 - 49 is a "difference of squares."

Formula for factoring a "difference of squares:"

 a² - b² =  (a - b)(a + b)

So:  rewrite your 121b4 - 49 as 11²b^4 - 7² = (11b²)² - 7²

                                                                  = (11b² - 7)(11b² + 7)

This answer matches the last of the four given answer choices.

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