Question

Given the polynomial 9x4y6 − 16x6y8, rewrite as a product of polynomials. a. (3x2y3 − 4x3y4)(3x2y3 − 4x3y4) b. (3x2y3 − 4x3y4)(3x2y3 + 4x3y4) c. (9x2y3 − 16x3y4)(x2y3 − x3y4) d. (9x2y3 − 16x3y4)(x2y3 + x3y4)

Answer 1

Answer: The correct answer is b. (3x2y3 − 4x3y4)(3x2y3 + 4x3y4). This is because the given polynomial can be factored using the difference of squares formula, which states that a2 - b2 = (a + b)(a - b). In this case, a = 3x2y3 and b = 4x3y4. So, the given polynomial can be rewritten as (3x2y3)2 - (4x3y4)2 = (3x2y3 + 4x3y4)(3x2y3 - 4x3y4).