Question

(3a - 5b)/(a - b) + (2a - 4b)/(b - a)

Answer 1

Відповідь:

Пояснення:(3a - 5b)/(a - b) + (2a - 4b)/(b - a) = [(3a - 5b)(b - a) + (2a - 4b)(a - b)]/[-(a - b)^2]

(3a - 5b)(b - a) + (2a - 4b)(a - b) = 3ab - 3a^2 - 5b^2 + 5ab + 2a^2 - 2ab - 4ab + 4b^2

= a^2 - 2ab - b^2

(3a - 5b)/(a - b) + (2a - 4b)/(b - a) = -(a^2 - 2ab - b^2)/(a - b)^2