Question

The factors of \[{x^2} + xy - 2xz - 2yz\] are
A. \[(x - y)(x + 2z)\]
B. \[(x + y)(x - 2z)\]
C. \[(x - y)(x - 2z)\]
D. \[(x + y)(x + 2z)\]

Answer 1

Hint: From the given equation compare the terms and take common value from the terms and solve further.

Complete step-by-step answer:
Given: \[{x^2} + xy - 2xz - 2yz\]
Taking x common from the 1st and 2nd terms and taking – 2z common from the last two terms we have,
\[
   = x(x + y) - 2z(x + y) \\
   = (x - 2z)(x + y) \\
 \]
So, the answer is option B. \[(x + y)(x - 2z)\]

Note: Silly mistakes should be avoided in case of plus and minus signs.
Alternative way to solve this can be, by the options, just expand the given options to get an equation and which matches to the given expression will be the correct option.