Question

What is P - (Q + R)?

If, P =$\frac{1}{2}$xyz, Q =$\frac{3}{2}$xyz and R = -2 xyz

• A. (1/2)xyz
• B. xyz
• C. x²yz
• D. (xyz)²

Answer 1

The correct option is B

xyz

P-(Q+R)

$=\frac{1}{2}xyz-(\frac{3}{2}xyz+(-2xyz\left)\right)$

$=\frac{1}{2}xyz-(\frac{3}{2}xyz-2xyz)$

$=\frac{1}{2}xyz-\left(\frac{3xyz-4xyz}{2}\right)$

$=\frac{1}{2}xyz-\left(\frac{-xyz}{2}\right)$

$=\frac{1}{2}xyz+\frac{1}{2}xyz=xyz$