Question

Co-efficient of xy in the terms of (x + y -1)³ is -​

Answer 1

-1 cube is the coefficient of xy
Coefficient is the number beside variables and expression

Answer 2

Answer: -8

Step-by-step explanation:

Expression given :- (x+y-1)³

Now we are aware that,

(a+b+c)³ can be written as (a+b+c)² × (a+b+c)

So, (x+y-1)² × (x+y-1) where (x+y-1)² = $\\( x^{2} +y^{2} + 1 + 2xy -2y -2x)$

→ $\\( x^{2} +y^{2} + 1 + 2xy -2y -2x)$ $(x+y-1)$

From solving this, we get -8xy in the expression, so -8 is the coefficient of xy in the terms of $(x+y-1)^3$.