3 years ago

Find the value of k

Mathematics

1 answer:

Sholpan [36]3 years ago

4 0

9514 1404 393

Answer:

k = -2

Step-by-step explanation:

The determinant can be formed by subtracting up-diagonal products from down-diagonal products:

(x)(x+y)(y) +(y)(x)(x+y) +(x+y)(y)(x) -(x+y)^3 -x^3 -y^3

= 3xy(x+y) -(x^3 +3x^2y +3xy^2 +y^3) -x^3 -y^3

= -2(x^3 +y^3)

The value of k is -2.

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Find the value of k ​

Find the value of k