Math, asked by shikhar40, 1 year ago

factorise
 {a}^{3}  -  {b}^{3}  + 1 + 3ab

Answers

Answered by gaurav2013c
6
a^3 - b^3 + 1 + 3ab

= (a)^3 + (-b)^3 + (1)^3 - 3(a) (-b) (1)

= ( a - b + 1) [ a^2 + b^2 + 1 - (a) (-b) - (-b) (1) - (1)(a)]

= (a-b + 1) (a^2 + b^2 + 1 + ab + b - a)

shikhar40: thanks bro
gaurav2013c: ur most welcome
gaurav2013c: :-)
shikhar40: yo
shikhar40: bhaiya solve my 1 ques
shikhar40: go in filters and change it to primary and only maths my ques will be on first no.
Answered by ɪᴛᴢᴛʀᴀɢɪᴄɢɪʀʟ
0

a^3 - b^3 + 1 + 3ab

= (a)^3 + (-b)^3 + (1)^3 - 3(a) (-b) (1)

= ( a - b + 1) [ a^2 + b^2 + 1 - (a) (-b) - (-b) (1) - (1)(a)]

= (a-b + 1) (a^2 + b^2 + 1 + ab + b - a)

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