Question

(3x-y)² =... Решение подробно

Answer 1

Ответ:

(3x-y)^2=9x^2-6xy+y^2

Пошаговое объяснение:

Answer 2

To find the square of the expression (3x - y)², we need to expand it using the formula for squaring a binomial. The formula is:

(a - b)² = a² - 2ab + b²

In this case, a = 3x and b = y. Let's proceed with the expansion step by step:

Step 1: Square the first term, (3x)² (3x)² = (3x) * (3x) = 9x²

Step 2: Square the second term, (-y)² (-y)² = (-y) * (-y) = y²

Step 3: Square the product of the two terms, which is -2(3x)(y) -2(3x)(y) = -6xy

Now, we put all the squared terms together to get the final expanded expression:

(3x - y)² = (3x)² - 2(3x)(y) + (-y)² = 9x² - 6xy + y²

So, the fully expanded form of (3x - y)² is 9x² - 6xy + y².