Question

(5х^2-10ху+5у^2)/(2х^2-2ху+2у^2)):(8х-8у)/(10х^3+10у^3)) при х=-3;у=-1

Answer 1

Х^2-у^2= (-3)^2-(-1)^2=9-1=8
Сразу подставила

Answer 2

To find the value of the given expression when x = -3 and y = -1, follow these steps:

Step 1: Substitute the values of x and y into the expressions.

Given expressions:

1. (5x^2 - 10xy + 5y^2) / (2x^2 - 2xy + 2y^2)
2. (8x - 8y) / (10x^3 + 10y^3)

Substitute x = -3 and y = -1 into both expressions:

1. (5(-3)^2 - 10(-3)(-1) + 5(-1)^2) / (2(-3)^2 - 2(-3)(-1) + 2(-1)^2)
2. (8(-3) - 8(-1)) / (10(-3)^3 + 10(-1)^3)

Step 2: Simplify each expression.

1. (5(9) + 30 + 5) / (2(9) + 6 + 2) (45 + 30 + 5) / (18 + 6 + 2) 80 / 26 40 / 13 (approx. 3.07692307692)

2. (-24 + 8) / (-270 - 10) -16 / -280 2 / 35 (approx. 0.05714285714)

Step 3: Divide the first result by the second result.

(40 / 13) / (2 / 35)

To divide fractions, invert the second fraction and multiply:

(40 / 13) * (35 / 2)

Step 4: Calculate the final result.

(40 * 35) / (13 * 2) 1400 / 26 700 / 13 (approx. 53.84615384615)

So, the value of the expression when x = -3 and y = -1 is approximately 53.84615384615.