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

Answer:

$2a(2a-3b)$

Step-by-step explanation:

4 and 6 have a common factor 2.

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

So we can factor out $2a$:

$4a^2-6ab$

$2a(\frac{4a^2}{2a}-\frac{6ab}{2a})$

$2a(\frac{2a(2a)}{2a}-\frac{3b(2a)}{2a})$

$2a(2a-3b)$