Question

Factorise the following:-
4q^2+9y^2-12qy

Answer 1

Question:

Factorise 4q² + 9y² - 12 qy

Solution:

4q² + 9y² -12 qy

= (2q)² + (3y)² - 2 (2q)(3y)

Comparing with identity

[a-b]² = a² + b² - 2ab

[ It can be seen that 2q and 3y are satisfying the above identity.

(2q - 3y)² = (2q)² + (3y)² -2(2q)(3y)

= 4q² + 9y² - 12 qy ]

We get,

= (2q - 3y)²

= (2q-3y) (2q-3y)