Question

value of -27 x³ y²÷ 9 x³ y²​

Answer 1

Answer:

The first thing one can note is that x^3 + y^3 = (x+y)(x^2 - xy + y^2)

Now, we know x + y and x^2 + y^2.

(x+y)^2 = x^2 + 2xy + y^2 (expansion)

(10)^2 = 60 + 2xy

20 = xy

x^3 + y^3 = (x+y)(x^2 - xy + y^2) = (10)(60 - 20) = 400.

Note: you can also find the values of x and y, which happen to be 5+sqrt(5) and 5-sqrt(5), but cubing these values without a calculator is very tedious and it is much easier simply to manipulate the cubes into things already given or easily found (like xy).

Step-by-step explanation:

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Answer 2

Answer:

-3x^6y^4

Step-by-step explanation:

calculate the quotient -27 ÷ 9

Calculate the product x³ + x³ = x^6

y²+y² = y^4