Question

14. Factors of x2 - 4xy + 4y2 are​

Answer 1

$\bold{\ {x}^{2} - 4xy + 4 {y}^{2}} \\ \bold{ = {x}^{2} - 2xy - 2xy + 4 {y}^{2}} \\\bold{ = x(x - 2y) - 2y(x - 2y) }\\ \bold{ = (x - 2y)(x - 2y)}$

$\mathfrak{\therefore \: required \: fractions \: are \: (x - 2y)(x - 2y)}$

Answer 2

Answer:

$\tt{x}^{2} - 4xy + 4 {y}^{2} \\ \tt = \: {x}^{2} - 2 \times x \times 2y + {2y}^{2} \\\tt = {(x - 2y)}^{2} \\ \tt= (x - 2y)(x - 2y)$