Answer:
121b⁴ − 49 = (11b² + 7) • (11b² - 7)
Explanation:
The difference of two squares.
Step 1: reformat equation
11²b² - 49
Step 2: Factoring: 121b⁴- 49
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B² =
A² - B²
Factorization is : (11b² + 7) • (11b² - 7)