Question

(y-x)^2-10(x-y)+25
find the answers pls

Answer 1

EXPLANATION.

⇒ (y - x)² - 10(x - y) + 25.

As we know that,

Formula of :

⇒ (a - b)² = a² + b² - 2ab.

Using this formula in this equation, we get.

⇒ [y² + x² - 2xy] - 10(x - y) + 25.

⇒ y² + x² - 2xy - 10x + 10y + 25.

⇒ x² + y² - 10x + 10y - 2xy + 25.

                                                                                                                                       

MORE INFORMATION.

(1) (x + y)² = x² + y² + 2xy.

(2) (x - y)² = x² + y² - 2xy.

(3) (x² + y²) = (x + y)² - 2xy.

(4) (x² - y²) = (x + y)(x - y).

(5) (x³ + y³) = (x + y)(x² - xy + y²).

(6) (x³ - y³) = (x - y)(x² + xy + y²).

(7) (x + y)³ = x³ + 3x²y + 3xy² + y³.

(8) (x - y)³ = x³ - 3x²y + 3xy² - y³.