Question

Factorise : 9a^2+24 ab +12 b^2

Answer 1

Answer:

(9a+6b)(a+2b)

Step-by-step explanation:

9a^2+24ab+12b^2

FIRDST WE WILL TAKE 3 COMMON FROM THE EXPRESSION.

=>3(3a^2+8ab+4b^2)

NOW WE HAVE TO SPLIT THE MIDDLE TERM 8.

=>3(3a^2+6ab+2ab+4b^2)

=>3{3a(a+2b)+2b(a+2b)}

=>3(a+2b)(3a+2b)

=>(3a+6b)(3a+2b)