Question

(5b-b^2)^2 - b^2(b-3)(b+3)+2b(8+5b^2)

Answer 1

Ответ:

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Answer 2

Ответ:

34b^2 +16b

Объяснение:

(5b-b^2)^2 - b^2(b-3)(b+3)+2b(8+5b^2) =

= 25b^2 -10b^3 +b^4 * (b-3) * (b+3) +2b * (8+5b^2) =

= 25b^2 -10b^3 +b^4 -b^2 *(b^2 -9) +2b *(8+5b) =

= 25b^2 -10b^3 +b^4 -b^2 *(b^2 -9) +16b +10b^3 =

= 25b^2 -10b^3 +b^4 -b^4 +9b^2 +16b +10b^3 =

= 25b^2 +9b^2 +16b = 34b^2 +16b

Answer 3

Let's simplify the given expression step by step:

(5b - b^2)^2 - b^2(b - 3)(b + 3) + 2b(8 + 5b^2)

First, let's simplify the square of the binomial (5b - b^2)^2:

(5b - b^2)^2 = (5b - b^2)(5b - b^2) = 25b^2 - 5b^3 - 5b^3 + b^4 = b^4 - 10b^3 + 25b^2

Next, let's expand the product -b^2(b - 3)(b + 3):

-b^2(b - 3)(b + 3) = -b^2(b^2 - 9) = -b^4 + 9b^2

Now, let's expand the product 2b(8 + 5b^2):

2b(8 + 5b^2) = 16b + 10b^3

Putting it all together, the simplified expression becomes:

(b^4 - 10b^3 + 25b^2) - (-b^4 + 9b^2) + (16b + 10b^3)

Simplifying further, we can combine like terms:

b^4 - 10b^3 + 25b^2 + b^4 - 9b^2 + 16b + 10b^3

Combining the terms with the same exponent:

2b^4 - 9b^2 + 16b

Thus, the simplified expression is 2b^4 - 9b^2 + 16b.