Question

The exponded form of (x+y-z) ^2

Answer 1

Question;-

Find the expanded form of

${(x + y - z)}^{2}$

Using identity

$(a + b + c) {}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc +2 ac$

Here,

$a = x,b = y,c = - z$

$= {x}^{2} + {y}^{2} + {( - z)}^{2} + 2(x)(y) + 2(y)( - z) + 2(x)( - z) \\ = {x }^{2} + {y}^{2} + {z}^{2} + 2xy - 2yz - 2xz$

The expanded form of

${(x + y - z)}^{2} = {x }^{2} + {y}^{2} + {z}^{2} + 2xy -2 yz - 2xz$

Hope this will be helpful.