Question

Factories 4a² - 6ab​

Answer 1

4a^2-6ab
=(2a)^2-6ab

by completing the square

=(2a)^2-(2*2a*3b/2)+(3b/2)^2-(3b/2)^2

=(2a-3b/2)^2-(3b/2)^2
=(2a-3b/2+3b/2)(2a-3b/2-3b/2)
{Since a^2-b^2= (a-b)(a+b)}
=(2a)(2a-3b) (Ans)

Answer 2

`2a(2a-3b)`

Explanation:

4 and 6 have a common factor 2.

`a^2` and
`ab` have a common factor
`a`.

So we can factor out
`2a`:

`4a^2-6ab`

`2a((4a^2)/(2a)-(6ab)/(2a))`

`2a((2a(2a))/(2a)-(3b(2a))/(2a))`

`2a(2a-3b)`