Question

2a+ 3b + 4a^2 - 9b^2​

Answer 1

Answer:

• $\bf\pink{(2a+3b)\times (1+2a-3b)}$

Step-by-step 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

$\hookrightarrow\:\:\:\sf\red{2a+3b+(2a-3b)\times (2a + 3b)}$

• Factor out 2a+3b from the expression

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

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