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factor the polynomial 
64x^3-125

Sagot :

rabinshrestha41
[tex]64 x^{3} -125[/tex]

= [tex](4x)^{3} - 5^{3} [/tex] ------> because, [tex](4x)^{3}[/tex] is same as 64x³ and 
                                                [tex]5^{3} [/tex] is same as 125

Using the formula: [tex] a^{3}- b^{3} =(a-b)(a ^{2} +ab+b ^{2} )[/tex], we get, 

= [tex](4x -5)((4x)^{2} +4x*5+ 5^{2} )[/tex]

= [tex](4x -5)(16 x^{2} +20x+25)[/tex]   ------>that's your answer!!
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