Question

Factorise: 4x² – 13xy + 3y² using middle term splitting method​

Answer 1

Step-by-step explanation:

4x² - 13xy + 3y²

4x² - 12xy - xy + 3y²

4x(x - 3y) -y ( x - 3y)

(4x - y) ( x - 3y)

Answer 2

$\implies\sf{ {4x}^{2} - 13xy + {3y}^{2} }$

$\implies\sf{ {4x}^{2} - 12xy - xy + {3y}^{2} }$

$\implies \sf {4x(x - 3y) - y(x - 3y)}$

$\implies\boxed{\sf \red{(4x - y)(x - 3y)}} \: \green\bigstar$

_________...

$\star\: \tt\purple{How \: to \: Factorise}$

• At first we have to look that by multiplying 4x² and 3y² we get 12xy

• Then we have to see that the middle term is 13xy

• So we have to find a number because when we multiply it we get 12xy and when we subtract or add the number we get 13xy.

• By this way we can do factorisation.