Question

10−[4xy+3{x2−(xy−y)−(x−y+1)}]

Answer 1

Given:

10 - [ 4xy + 3 { x^2 - ( xy - y ) - ( x - y + 1 ) } ]

To find:

We have to find the simplified form of the given term

Step-by-step explanation:

Now, 10 - [ 4xy + 3 { x^2 - ( xy - y ) - ( x - y + 1 ) } ]

= 10 - [ 4xy + 3 { x^2 - xy + y - x + y - 1 } ]

= 10 - [ 4xy + 3 { x^2 - xy + 2y - x - 1 } ]

= 10 - [ 4xy + 3x^2 - 3xy + 6y - 3x - 3 ]

= 10 - [ xy + 3x^2 + 6y - 3x - 3 ]

= 10 - xy - 3x^2 - 6y + 3x + 3

= 13 - xy - 3x^2 - 6y + 3x

This is the required simplified form.

To remember:

While simplifying the given term, we have used BODMAS rule, where B stands for brackets, O stands for order, D stands for division, M stands for multiplication, A stands for addition and S stands for subtraction.