How do you factor #np+2n+8p+16#?

1 Answer
Jan 19, 2017

Answer:

#np+2n+8p+16 = (n+8)(p+2)#

Explanation:

Note that the ratio of the first and second terms is the same as that between the third and fourth terms.

So this quadrinomial will factor by grouping:

#np+2n+8p+16 = (np+2n)+(8p+16)#

#color(white)(np+2n+8p+16) = n(p+2)+8(p+2)#

#color(white)(np+2n+8p+16) = (n+8)(p+2)#