Final answer:
To simplify using the tabular method, multiply the terms in each parentheses. The final simplified expression is 36x^5 + 132x^2 - 563x - 88.
Step-by-step explanation:
To simplify using the tabular method, we will multiply the terms in each parentheses. Let's break down each expression:
(6x² + 3x + 9)(2x² + 4x - 6) = 12x4 + 12x³ - 12x² + 6x³ + 6x² - 6x + 18x² + 18x - 54 = 12x4 + 18x³ + 32x² + 18x - 54
(4xy + 3x)² = (4xy)² + 2(4xy)(3x) + (3x)² = 16x²y² + 24x³y + 9x²
(2x² + 11)(3x + 4)(6x² - 7) = (2x²)(3x)(6x²) + (2x²)(3x)(-7) + (11)(3x)(6x²) + (11)(3x)(-7) + (2x²)(4)(6x²) + (2x²)(4)(-7) + (11)(4)(6x²) + (11)(4)(-7) = 36x5 - 42x³ + 66x² - 77x + 96x² - 28x - 154x + 44 + 48x² - 56x - 308x + 88 = 36x5 + 132x² - 563x - 88