Question

Factorise: x2+2xy+y2
-a2+2ab-b2

Answer 1

Answer:

$1) \: \: \: \: \: {x}^{2} + 2xy + {y}^{2} \\ \\ = {x}^{2} + xy + xy + {y}^{2} \\ \\ = x(x + y) + y(x + y) \\ \\ = (x + y)(x + y) \\ \\ \\ 2) \: \: \: \: \: { - a}^{2} + 2ab - {b}^{2} \\ \\ = - {a}^{2} + ab + ab - {b}^{2} \\ \\ = - a(a - b) + b(a - b) \\ \\ = (a + b)(a - b)$