Question

factorise (a^2-5a^2)^2-36​

Answer 1

$\sf{\underline{\boxed{\mathbb{Solution }}}}$

$\implies (a^2 - 5a)^2 - 36$

$\implies ( a^2 - 5a)^2 - 6^2$

$\sf{\underline{\boxed{\mathbb{ a^2 - b^2 = ( a + b) ( a - b) }}}}$

$\implies( a^2 - 5a - 6 )(a^2 - 5a + 6 )$

$\sf{\underline{\boxed{\mathbb{Middle \: term \: split }}}}$

$\implies ( a^2 - 2a - 3a + 6 ) ( a^2 + a - 6a - 6)$

$\implies [ a ( a - 2) -3 ( a - 2) ] [ a ( a + 1) - 6 ( a + 1) ]$

$\implies ( a - 3) ( a - 2 ) ( a - 6) ( a + 1 )$

$\sf{\underline{\boxed{\mathbb{( a - 3) ( a - 2) ( a - 6 ) ( a + 1 ) }}}}$

Answer 2

Answer:

Step-by-step explanation: