Question

Преобразовать выражение в многочлен.

Answer 1

((a+2b)(a-2b))^2=(a^2-4b^2)^2=a^4-8a^2b^2+16b^4

Answer 2

Converting an Expression into a Polynomial

To convert an expression into a polynomial, we need to simplify and rearrange the terms so that they are in the form of a polynomial. Let's look at a few examples:

Example 1: (7-3h)^2

To convert this expression into a polynomial, we can expand it using the binomial theorem. The binomial theorem states that for any two numbers a and b, and any positive integer n, the expansion of (a + b)^n can be written as:

(a + b)^n = C(n, 0) * a^n * b^0 + C(n, 1) * a^(n-1) * b^1 + C(n, 2) * a^(n-2) * b^2 + ... + C(n, n-1) * a^1 * b^(n-1) + C(n, n) * a^0 * b^n

where C(n, k) represents the binomial coefficient, which is the number of ways to choose k items from a set of n items.

In our example, (7-3h)^2 can be expanded as:

(7-3h)^2 = C(2,