Question

factorise (x+1)(x+11)+(x+1)

Answer 1

x+x1=11111

⇒xx2+1=11(11×11+1)

⇒11x2+11=122x

⇒11x2−122x+11=0

⇒11x2−121x−x+11=0

⇒11x(x−11)−(x−11)=0

⇒(11x−1)(x−11)=0

⇒11x−1=0 or x−11=0

⇒x=111 or x=11

Answer 2

Answer:

Distribute:

=(x)(x)+(x)(11)+(1)(x)+(1)(11)+x+1

=x2+11x+x+11+x+1

Combine Like Terms:

=x2+11x+x+11+x+1

=(x2)+(11x+x+x)+(11+1)

=x2+13x+12