Question

Factorise each of the following: 16a² – 25/9a²​

Answer 1

Answer:

16a^2-25/9a^2

=(4a)^2-(5/3a)^2

={4a-(5/3a)}{4a+(5/3a)}

Answer 2

Step-by-step explanation:

16a²-$\frac{25}{9}b²$

{4a}²-{$\frac{5}{3}b$}²

[ 4a+$(\frac{5}{3}b)$ ] [ 4a-$(\frac{5}{3}b)$ ]

We have used the identity,

x²-y² = (x+y)(x-y)

Here x = 4a & y =$(\frac{5}{3}b)$