Question

6x(x − 4) − 16x2 − (9x − 1)?

A.
-10x2 − 33x + 1
B.
10x2 − 33x + 1
C.
-10x − 33x + 1
D.
-10x2 + 33x + 1

Answer 1

`\large\boxed{A.\ -10x^2-33x+1}`

Explanation:

`6x(x-4)-16x^2-(9x-1)\qquad\text{use the distributive property}\\\\=(6x)(x)+(6x)(-4)-16x^2-9x-(-1)\\\\=6x^2-24x-16x^2-9x+1\qquad\text{combine like terms}\\\\=(6x^2-16x^2)+(-24x-9x)+1\\\\=-10x^2-33x+1`