Question

Which expression is the simplest form of 2(4x + y) + 3(x - 6y) + x2?

O A. x2 + 11x-17y
B. x2 + 11x – 4y
C. x2 + 9x- 17y
O D. x2 + 11x-16y

Answer 1

x² + 11x-16y

Explanation:

The given equation is :

`2(4x + y) + 3(x - 6y) + x^2`

It can be simplified as follows :

`2(4x + y) + 3(x - 6y) + x^2\\\\=2(4x)+2y+3x-3(6y)+x^2\\\\=8x+2y+3x-18y+x^2\\\\=11x-16y+x^2`

So, the correct option is (d) i.e. x² + 11x-16y.