Advertisements
Advertisements
Question
Factorise the following by the difference of two squares:
x2 + y2 - z2 - 2xy
Sum
Advertisements
Solution
x2 + y2 - z2 - 2xy
= x2 + y2 - 2xy - z2
= (x2 + y2 - 2xy) - z2
= (x - y)2 - (z)2
= (x - y - z)(x - y + z).
shaalaa.com
Method of Factorisation : Difference of Two Squares
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise : a2 - (2a + 3b)2
Factorise : a2 - 81 (b-c)2
Factorise : 4a2b - 9b3
Factorise : a4 - 1
Factorise the following by the difference of two squares:
x6 - 196
Factorise the following by the difference of two squares:
`"m"^2 - (1)/(9)"n"^2`
Factorise the following:
b2 - 2bc + c2 - a2
Factorise the following:
a2 + b2 – c2 – d2 + 2ab – 2cd
Factorise the following:
(x + y)3 - x - y
Express each of the following as the difference of two squares:
(x2 - 2x + 3)(x2 + 2x + 3)
