How do you factor 11x^2+11xy+4x+4y11x2+11xy+4x+4y?

2 Answers
Mar 18, 2018

A bit rusty with factoring, but I'm pretty sure...

Explanation:

11x^2 + 11xy + 4x + 4y11x2+11xy+4x+4y

(Use grouping.)

11(11x^2 + 11xy) + 4(4x + 4y)11(11x2+11xy)+4(4x+4y)

(x + y)(11x + 4)(x+y)(11x+4)

Mar 18, 2018

(x+y)(11x+4)(x+y)(11x+4)

Explanation:

"factorise in groups"factorise in groups

color(red)(11x)(x+y)color(red)(+4)(x+y)11x(x+y)+4(x+y)

"take out "color(blue)"common factor "(x+y)take out common factor (x+y)

=(x+y)(color(red)(11x+4))=(x+y)(11x+4)

rArr11x^2+11xy+4x+4y=(x+y)(11x+4)11x2+11xy+4x+4y=(x+y)(11x+4)