Question

Factorise 1- x square -y square- 2x y

Answer 1

Answer:

\begin{gathered}1 - x {}^{2} - y { - 2xy}^{2} \\ = 1 - (x {}^{2} + y {}^{2} + 2xy) \\ = (1) {}^{2} - (x + y) {}^{2} \\ = (1 + x + y)(1 - x - y)\end{gathered}

1−x

2

−y−2xy

2

=1−(x

2

+y

2

+2xy)

=(1)

2

−(x+y)

2

=(1+x+y)(1−x−y)