Question

x +1/x+3=3x+2/2x+3 factorise the following ​

Answer 1

Answer:

If we complete the square x4+2x3, we will get, x2 as the

the third term.

∴x4+2x3+3x2+2x+1,

=(x4+2x3+x2)+2x2+2x−−−−−−−−+1,

={(x2)2+2(x2)(x)+(x)2}+2(x2+x)+1,

=(x2+x)2+2(x2+x)(1)+12,

=y2+2y+1, where, y=x2+x,

=(y+1)2.

Sub.ing y=x2+x, we find,

The Expression=(x