Question

(v) x(y–z)2 + y(2-x)2 + z(x+y)2 + 8xyz​

Answer 1

Solution :-

using identity in this solution,

(a - b) ^2 = a^2 - 2ab + b^2

(a + b)^2 = a^2 + 2ab + b^2

x( y - z) ^2 + y(2 - x)^2 + z(x + y)^2 + 8xyz

Step 1 :-

x(y^2 -2yz + z^2) + y( 4 - 4x + x^2) + z( x2 + 2xy + y^2) + 8xyz

Step 2 :-

xy^2 -2xyz + xz^2 + 4y - 4xy + x^2y + zx^2 + 2xyz + zy^2 + 8xyz

Step 3:-

xy^2 + xz^2 + 4y - 4xy + x^2y + zx^2 + zy^2 + 8xyz