Advertisements
Advertisements
Question
Factorise:
a3 - 27
Sum
Advertisements
Solution
a3 - 27
= (a)3 - (3)3
= (a - 3)[(a)2 + a × 3 + (3)2] ...[∵ a3 - b3 = (a - b)(a2 + ab + b2)]
= (a - 3)[a2 + 3a + 9]
shaalaa.com
Method of Factorisation : the Sum Or Difference of Two Cubes
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise : 1 - 8a3
Factorise : 64 - a3b3
Factorise : a3 - `27/a^3`
Factorise : a3 + 0.064
Factorise: (x - y)3 - 8x3
Factorise:
a4 - 343a
Factorise:
`(8"a"^3)/27 - "b"^3/8`
Factorise : 2x3 + 54y3 - 4x - 12y
Factorise:
a3 - 27b3 + 2a2b - 6ab2
Evaluate :
`[ 5.67 xx 5.67 xx 5.67 + 4.33 xx 4.33 xx 4.33 ]/[5.67 xx 5.67 - 5.67 xx 4.33 + 4.33 xx 4.33]`
