Question

(2b^3-c^2)^2+(2b^3+c^2)(2b^3-c^2)

Answer 1

Ответ:

(2b³-c²)*(4b³+3)

Объяснение:

Answer 2

To simplify the expression (2b^3 - c^2)^2 + (2b^3 + c^2)(2b^3 - c^2), you can treat it as a difference of squares and then multiply it out.

(2b^3 - c^2)^2 is a perfect square, so you can write it as:

(2b^3 - c^2)^2 = (2b^3 - c^2)(2b^3 - c^2)

Now, we have:

(2b^3 - c^2)^2 + (2b^3 + c^2)(2b^3 - c^2) = (2b^3 - c^2)(2b^3 - c^2) + (2b^3 + c^2)(2b^3 - c^2)

Notice that both terms have a common factor of (2b^3 - c^2). You can factor it out:

(2b^3 - c^2)((2b^3 - c^2) + (2b^3 + c^2))

Now, simplify the expression inside the parentheses:

(2b^3 - c^2)(2b^3 - c^2 + 2b^3 + c^2)

Now, simplify further:

(2b^3 - c^2)(4b^3)

Now, you can multiply the terms:

2b^3 * 4b^3 - c^2 * 4b^3

8b^6 - 4b^3c^2

So, the simplified expression is 8b^6 - 4b^3c^2.