Factor the polynomial:

\[ 64x^3 - 125 \]

The **factored form **of the polynomial 64x^3 - 125 is (4x - 5)(16x^2 + 20x + 25) using the difference of cubes factoring formula. ;

Answered by EnverGjokaj | 2024-06-18

64 x 3 − 125
= ( 4 x ) 3 − 5 3 ------> because, ( 4 x ) 3 is same as 64x³ and 5 3 is same as 125
Using the formula: a 3 − b 3 = ( a − b ) ( a 2 + ab + b 2 ) , we get,
= ( 4 x − 5 ) (( 4 x ) 2 + 4 x ∗ 5 + 5 2 )
= ( 4 x − 5 ) ( 16 x 2 + 20 x + 25 ) ------>that's your answer!!

Answered by rabinshrestha41 | 2024-06-24

The polynomial 64 x 3 − 125 can be factored as ( 4 x − 5 ) ( 16 x 2 + 20 x + 25 ) using the difference of cubes formula. This formula states that a difference of cubes can be expressed as the product of a binomial and a trinomial. In this case, a = 4 x and b = 5 .
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Answered by EnverGjokaj | 2024-08-30