Question

X²-xy/12y×4y/x-y ,при x=7;y=17

Answer 1

Ответ:

-1605.6 или -1605 2\3

Пошаговое объяснение:

Answer 2

To evaluate the expression (x² - xy)/(12y) × (4y)/(x - y) when x = 7 and y = 17, we substitute the given values into the expression and perform the calculations step by step:

Step 1: Substitute the values of x and y into the expression. (x² - xy)/(12y) × (4y)/(x - y) becomes (7² - 7(17))/(12(17)) × (4(17))/(7 - 17).

Step 2: Simplify the expression. 7² is equal to 49, and 7(17) is equal to 119. Similarly, 4(17) is equal to 68, and 7 - 17 is equal to -10. Therefore, the expression becomes (49 - 119)/(12(17)) × (68)/(-10).

Step 3: Continue simplifying the expression. 49 - 119 is equal to -70, and 12(17) is equal to 204. Thus, the expression simplifies further to -70/204 × 68/(-10).

Step 4: Multiply the fractions. Multiply the numerators together and multiply the denominators together: -70 × 68 = -4760, and 204 × (-10) = -2040.

Step 5: Simplify the result. The final expression is -4760/(-2040). To simplify further, we can divide both the numerator and denominator by their greatest common divisor, which is 40. Dividing both values by 40, we get -119/(-51). Since the numerator and denominator have a negative sign, they cancel each other out, resulting in a positive fraction.

The final answer is 119/51.