Question

Factorise the expressions:
(z - 1)²+ 2 (z-1) (2z+3) + (2z +3)²

Answer 1

Answer:

{(z-1)+(2z+3)}²

Step-by-step explanation:

I hope it will help you.

Answer 2

Answer:

(z - 1)²+ 2 (z-1) (2z+3) + (2z +3)²=(3z+2)(3z+2)

Step-by-step explanation:

(z - 1)²+ 2 (z-1) (2z+3) + (2z +3)²

=a²+2ab+b² [Let a=(z - 1) and b=(2z +3)]

=(a+b)²

=(a+b)(a+b)

=(z-1+2z+3)(z-1+2z+3) [Putting the values of a and b]

=(3z+2)(3z+2)

Ans:- (3z+2)(3z+2)

[I kept in (a+b)(a+b) form as it was told to be factored. You may keep in (a+b)² form. None will cut marks]

Hope it helps you :D

have a great day!!!