Question

4) b³c (4b-c²) (4b+c²)+16b*c.

Answer 1

B^3c (4b-с^2) (4b+с^2)+16b•c=b^3c(16b^2-c^2)+16bc=16b^5c-b^3c^6+16bc

Answer 2

16b^5c - b^3c^4 + 16bc

Answer 3

To simplify the expression, let's break it down step by step:

1. Distribute the b³ to each term inside the parentheses: b³ * (4b - c²) * (4b + c²) + 16bc

2. Multiply the terms inside each pair of parentheses: (4b * 4b - 4b * c² - c² * 4b + c² * c²) + 16bc

3. Simplify the products: 16b² - 4b * c² - 4b * c² + c⁴ + 16bc

4. Combine like terms: 16b² - 8b * c² + c⁴ + 16bc

And that's the simplified form of the expression b³c(4b-c²)(4b+c²) + 16bc.