Answer:
- [tex]\sf\pink{(x+1)^{2} \times (1-4x)}[/tex]
Step-by-step explanation:
Given Expression :-
- [tex]\sf\orange{5(x+1)^{2} -4(x+1)^{3}}[/tex]
Steps to factorise :-
[tex]\Rightarrow\:\:\:\sf\purple{5(x+1)^{2} -4(x+1)^{3}}[/tex]
- Factor out (x+1)² from the expression
[tex]\Rightarrow\:\:\:\sf\green{(x+1)^{2} \times \bigg( 5-4 (x+1) \bigg) }[/tex]
- Distribute -4 through the parentheses
[tex]\Rightarrow\:\:\:\sf\purple{(x + 1)^{2} \times (5-4x-4)}[/tex]
[tex]\Rightarrow\:\:\:\bf\pink{(x+1)^{2} \times (1-4x)}[/tex]
