Question

2. Factorize the following expressions using suitable identity:

(a) 25x2

– 64y2

(b)100 – 60x + 9x2

(c) 9a

2

+ 24 ab +16 b

2​

Answer 1

Answer:

We write

25x

2

−64y

2

=(5x)

2

−(8y)

2

This is in the form a

2

−b

2

which factorises to (a−b)(a+b). Thus

25x

2

−64y

2

=(5x)

2

−(8y)

2

=(5x−8y)(5x+8y).