83476
AssignmentMultiple Choice

Factoring Polynomials: Difference of Squares

Question 83476 • FL-1200700-Mathematics for College Algebra MIS

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

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

Explanation

Write 36x⁸ as (6x⁴)² and 49 as 7². Using a² − b² = (a + b)(a − b), the expression factors as (6x⁴ − 7)(6x⁴ + 7), which is choice C.

AI-written and checked against the verified answer.

Previous
Next