factorise 8a³+√27b³.... plz help meeeeeeee
Answers
Answered by
6
8acube+27cube
=(2a)cube+(3b)cube
By formula
a cube+b cube= (a+b)(a square+ab+b square)
So,
8acube+27cube
=(2a)cube+(3b)cube
=(2a+3b)((2a) square+2ax3b+(3b) square)
=(2a+3b)(4a^2+6ab+9b^2)
=(2a)cube+(3b)cube
By formula
a cube+b cube= (a+b)(a square+ab+b square)
So,
8acube+27cube
=(2a)cube+(3b)cube
=(2a+3b)((2a) square+2ax3b+(3b) square)
=(2a+3b)(4a^2+6ab+9b^2)
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Answered by
4
Heya
Here goes your answer
8a³+√27b³
(2a)³ + √(3b)³
a³+b³=(a+b)(a²-2ab+b²)
= (2a+√3b) (4a²-2(2a×√3b) + 3b)
= (2a+√3b) ( 4a²-4a√3b+3b)
The factors are (2a+√3b) and (4a²-4a√3b+3b)
Here goes your answer
8a³+√27b³
(2a)³ + √(3b)³
a³+b³=(a+b)(a²-2ab+b²)
= (2a+√3b) (4a²-2(2a×√3b) + 3b)
= (2a+√3b) ( 4a²-4a√3b+3b)
The factors are (2a+√3b) and (4a²-4a√3b+3b)
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