画像をダウンロード x^3-y^3=(x-y)(x^2 xy y^2) 331716-Differentiate y 2 x
Expand X X Y 3 3xy X Y This is a sum of cubes This is a semiimportant identity to know #(x^3y^3)=(xy)(x^2xyy^2)# Although it doesn't apply directly to this question, it's alsoEx 25, 9Verify (i) x3 y3 = (x y) (x2 – xy y2)LHS x3 y3We know (x y)3 = x3 y3 3xy (x y)So, x3 y3 = (x y)3 – 3xy (x y) = (x y)3 – 3xy Differentiate y 2 x
