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indrayani bargaje Grade: 10
        factorize:27x^3+8x^3+1
6 years ago

Answers : (3)

SAGAR SINGH - IIT DELHI
879 Points
										

Dear student,


Its (3x)^3+(2x)^3+1^3


use the expansion for a3+b3+c3
























































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6 years ago
Sudheesh Singanamalla
114 Points
										

27 x^3 + 8 x^3 + 1


= 35 x^3 + 1


a3 + b3  = (a + b)(a2 – ab + b2)


so


35 x^3 + 1 = (35x + 1 ) ( 35 x^2 - 35 x + 1)


 Solving the (35x^2 - 35x + 1) as quadratic equation)


 roots are 35 + sqrt(1085) and 35 - sqrt(1085)


35x+1 = 0 ----------


==> x = -1/2


therefore roots are


x = -1/2


x = 35 + sqrt (1085)


x = 35 - sqrt (1085)


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PLEASE APPROVE


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6 years ago
indrayani bargaje
33 Points
										

pleaSE tell me the identity of a^3+b^3+c^3

6 years ago
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