Evaluate `|(x, y, x+y),( y, x+y, x),( x+y, x, y)|`.

Evaluate {:[( x,y , x+y),( y,x+y,x),( x+y,x,y)]:}

Using properties of determinants , find the value of k if |{:(x,y,x+y),(y,x+y,x),(x+y,x,y):}|=k(x^(3)+y^(3)) .

Evaluate {:[(1,x,y),( 1,x+y,y),( 1,x,x+y)]:}

Evaluate {:[(1,x,y),( 1,x+y,y),( 1,x,x+y)]:}

Prove that: {:|(x,y,x+y),(y,x+y,x),(x+y,x,y)| = -2(x^3+y^3)

Evaluate det[[x,y,x+yy,x+y,xx+y,x,y]]

Evaluate: [[x,y,x+y],[y,x+y,x],[x+y,x,y]]

evaluate: |(a+x,y,z),(x,a+y,z),(x,y,a+z)|