Answer:
- [tex]\bf\pink{(2a+3b)\times (1+2a-3b)}[/tex]
Step-by-step explanation:
Given Expression :-
- [tex]\sf\orange{2a+ 3b + 4a^2 - 9b^2}[/tex]
Steps to factorise :-
[tex]\hookrightarrow\:\:\:\sf\purple{2a+ 3b + 4a^2 - 9b^2}[/tex]
- Using a²-b² = (a-b)(a+b), factor the expression
[tex]\hookrightarrow\:\:\:\sf\red{2a+3b+(2a-3b)\times (2a + 3b)}[/tex]
- Factor out 2a+3b from the expression
[tex]\hookrightarrow\:\:\:{\boxed{\sf{\pink{(2a+3b)\times (1+2a-3b)}}}}[/tex]
[tex]\mathfrak\blue{Hope\:It\:Helps\:!!!}[/tex]
