Question

4(3b-1)²-b(2b-1)(2b+1)

Answer 1

Ответ:

-4b^3+36b^2-23b+4

Объяснение:

Answer 2

To simplify the expression 4(3b-1)² - b(2b-1)(2b+1), let's break it down step by step:

Step 1: Expand the squared term. (3b-1)² = (3b-1)(3b-1) = 9b² - 6b + 1

Step 2: Expand the product of the binomials. (2b-1)(2b+1) = 2b(2b) + 2b(1) - 1(2b) - 1(1) = 4b² + 2b - 2b - 1 = 4b² - 1

Now, substitute the expanded terms back into the original expression:

4(3b-1)² - b(2b-1)(2b+1) = 4(9b² - 6b + 1) - b(4b² - 1)

Step 3: Distribute the 4 to the terms inside the parentheses. = 36b² - 24b + 4 - b(4b² - 1)

Step 4: Distribute the negative sign in front of the second term. = 36b² - 24b + 4 - 4b³ + b

Step 5: Rearrange the terms in descending order of powers of b. = -4b³ + 36b² - 24b + b + 4

Simplifying the expression 4(3b-1)² - b(2b-1)(2b+1) gives us the result -4b³ + 36b² - 24b + b + 4.