factorise 8acube + root27bcube
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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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