Question

Преобразовать в многочлен (7у-х)²

Answer 1

49y2−14xy+x2
Ответ: 49y2−14xy+x2

Answer 2

Converting (7y-x)² to a Polynomial

To convert the expression (7y-x)² into a polynomial, we can use the formula for squaring a binomial:

Step 1: Identify the terms in the binomial. In this case, the binomial is (7y-x).

Step 2: Apply the formula (a-b)² = a² - 2ab + b², where a = 7y and b = x.

Step 3: Substitute the values of a and b into the formula and simplify the expression.

Applying the formula, we get: (7y - x)² = (7y)² - 2(7y)(x) + (x)²

Now, let's simplify each term.

Step 4: Simplify the terms: (7y)² = 49y² -2(7y)(x) = -14xy (x)² = x²

Step 5: Combine the simplified terms to form the polynomial: (7y - x)² = 49y² - 14xy + x²

So, the expression (7y - x)² can be represented as the polynomial 49y² - 14xy + x².