Question

factorize 25x^2- 20xy +4y^2​

Answer 1

Step-by-step explanation:

Given expression is 25x

2

−20xy+4y

2

25x

2

−20x+4y

2

=25x

2

−10xy−10xy+4y

2

=5x(5x−2y)−2y(5x−2y)

=(5x−2y)(5x−2y)

=(5x−2y)

2

Answer 2

$25 {x}^{2} - 20xy + 4 {y}^{2}$

$= 25 {x}^{2} - 10xy - 10xy + 4 {y}^{2}$

$= 5x(5x - 2y) - 2y(5x - 2y)$

$= (5x - 2y)(5x - 2y)$

Hence, this is the required answer !