Question

factorise the expression ​

Answer 1

$\displaystyle\longrightarrow\sf{12(2a-b)^2-23(2a-b)(a-2b)+10(a-2b)^2}$

$\displaystyle\longrightarrow\sf{12(2a-b)^2-15(2a-b)(a-2b)-8(2a-b)(a-2b)+10(a-2b)^2}$

$\displaystyle\longrightarrow\sf{3(2a-b)[4(2a-b)-5(a-2b)]-2(a-2b)[4(2a-b)-5(a-2b)]}$

$\displaystyle\longrightarrow\sf{[3(2a-b)-2(a-2b)][4(2a-b)-5(a-2b)]}$

$\displaystyle\longrightarrow\sf{(6a-3b-2a+4b)(8a-4b-5a+10b)}$

$\displaystyle\longrightarrow\sf{(4a+b)(3a+6b)}$

$\displaystyle\longrightarrow\sf{\underline{\underline{3(4a+b)(a+2b)}}}$