Advertisements
Advertisements
Question
Factorise : a2 - 81 (b-c)2
Sum
Advertisements
Solution
a2 - 81 (b-c)2
= ( a )2 - [ 9( b - c ) ]2
= [ a - ( 9b - 9c )][ a + ( 9b - 9c )] [ ∵ a2 - b2 = ( a + b )( a - b )]
= ( a - 9b + 9c )( a + 9b - 9c )
shaalaa.com
Method of Factorisation : Difference of Two Squares
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise:
9(a − 2)2 − 16(a + 2)2
Factorise : a (a - 1) - b (b - 1)
Factorise : 4x4 - x2 - 12x - 36
Factorise the following by the difference of two squares:
x6 - 196
Factorise the following by the difference of two squares:
625 - b2
Factorise the following by the difference of two squares:
`"m"^2 - (1)/(9)"n"^2`
Factorise the following:
`x^2 + (1)/x^2 - 2`
Factorise the following:
4x2 - 12ax - y2 - z2 - 2yz + 9a2
Factorise the following:
y4 + y2 + 1
Express each of the following as the difference of two squares:
(x2 + 2x - 3) (x2 - 2x + 3)
