Question

factorise: (a²-3a) (a²-3a+7)+10
plzzz tell ans fast..​

Answer 1

$\LARGE{\bf{\underline{\underline{Question:-}}}}$

$Factorise:$

$(a²-3a) (a²-3a+7)+10$

$\LARGE{\bf{\underline{\underline{Solution:-}}}}$

$(a²-3a) (a²-3a+7)+10$

Let us assume that a² - 3a = x

$=(x)(x+7)+10$

$=(x)(x+5+2)+10$

$=x²+5x+2x+10$

$=x(x+5)+2(x+5)$

$=(x+2)(x+5)$

Now, let us put the value of x:

$=(a²-3a+2)(a²-3a+5)$

$=(a²-2a-a+2)(a²-3a+5)$

$=a(a-2)-1(a-2)(a²-3a+5)$

$=(a-1)(a-2)(a²-3a+5)$

Our answer comes:

$(a-1)(a-2)(a²-3a+5)$