Question
Factorise the following by the difference of two squares:$x^2 + y^2 - z^2 - 2xy$
✓
Answer
$x^2 + y^2 - z^2 - 2xy$
$= x^2 + y^2 - 2xy - z^2$
$= (x^2 + y^2 - 2xy) - z^2$
$= (x - y)^2 - (z)^2$
$= (x - y - z)(x - y + z).$
$= x^2 + y^2 - 2xy - z^2$
$= (x^2 + y^2 - 2xy) - z^2$
$= (x - y)^2 - (z)^2$
$= (x - y - z)(x - y + z).$
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