Question

2a+ 3b + 4a^2 - 9b^2​

Answer 1

• 
  `\bf\pink{(2a+3b)* (1+2a-3b)}`

Explanation:

Given Expression :-

• 
  `\sf\orange{2a+ 3b + 4a^2 - 9b^2}`

Steps to factorise :-

`\hookrightarrow\:\:\:\sf\purple{2a+ 3b + 4a^2 - 9b^2}`

• Using a²-b² = (a-b)(a+b), factor the expression

`\hookrightarrow\:\:\:\sf\red{2a+3b+(2a-3b)* (2a + 3b)}`

• Factor out 2a+3b from the expression

`\hookrightarrow\:\:\:{\boxed{\sf{\pink{(2a+3b)* (1+2a-3b)}}}}`

`\mathfrak\blue{Hope\:It\:Helps\:!!!}`