Question

X(x −y) - 3(y - x)Винесення спільного множника за дужки​

Answer 1

Ответ:

(х - у)(х + 3)

Объяснение:

x(x −y) - 3(y - x) =

вынесем множитель (-1) из второй скобки, получим

= x(x −y) + 3(х - у) = (х - у)(х + 3).

Answer 2

To factor out the common factor from the expression X(x - y) - 3(y - x), we can follow these steps:

Step 1: Rewrite the expression with the common factor outside the parentheses. X(x - y) - 3(y - x)

Step 2: Distribute the common factor to each term inside the parentheses. (X * x - X * y) - (3 * y - 3 * x)

Step 3: Simplify by multiplying the common factor with each term. X * x - X * y - 3 * y + 3 * x

Step 4: Rearrange the terms to group like terms together. (X * x + 3 * x) + (-X * y - 3 * y)

Step 5: Combine the like terms. (x * (X + 3)) + (-y * (X + 3))

Step 6: Factor out the common factor (X + 3). (X + 3)(x - y)

Therefore, the factored form of the expression X(x - y) - 3(y - x) is (X + 3)(x - y).