Advertisements
Advertisements
Question
Factorise : 4xy - x2 - 4y2 + z2
Sum
Advertisements
Solution
4xy - x2 - 4y2 + z2
= z2 - ( x2 + 4y2 - 4xy )
= z2 - ( x - 2y )2
= [ z - ( x - 2y )][ z + ( x - 2y )] [ ∵ a2 - b2 = ( a + b )( a - b )]
= [ z - x + 2y ][ z + x - 2y ]
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 + b2 - 4c2)2 - 4a2b2
Factorise : a2 - b2 - (a + b) 2
Factorise : `4x^2 + 1/(4x)^2 + 1`
Factorise the following by the difference of two squares:
441 - 81y2
Factorise the following by the difference of two squares:
x6 - 196
Factorise the following:
a2 + b2 – c2 – d2 + 2ab – 2cd
Factorise the following:
(a2 – b2)(c2 – d2) – 4abcd
Express each of the following as the difference of two squares:
(x2 - 2x + 3) (x2 - 2x - 3)
Express each of the following as the difference of two squares:
(x2 + 2x - 3) (x2 - 2x + 3)
