Factor y 3 − 8 {y^3} - 8 y3−8. This is a case of difference of two cubes since the number 8 can be written as a cube of a number, where 8 = ( 2 ) ( 2 ) ( 2 ) = 2 3 8 = \left( 2 \right)\left( 2 \right)\left( 2 \right) = {2^3} 8=(2)(2)(2)=23.
What is the difference of two cubes?
The difference of two cubes is equal to the difference of their cube roots times a trinomial, which contains the squares of the cube roots and the opposite of the product of the cube roots. A number's opposite is that same number with a different sign in front.
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Example 2:
Factor y 3 − 8 {y^3} - 8 y3−8. This is a case of difference of two cubes since the number 8 can be written as a cube of a number, where 8 = ( 2 ) ( 2 ) ( 2 ) = 2 3 8 = \left( 2 \right)\left( 2 \right)\left( 2 \right) = {2^3} 8=(2)(2)(2)=23.
What is the difference of two cubes?
The difference of two cubes is equal to the difference of their cube roots times a trinomial, which contains the squares of the cube roots and the opposite of the product of the cube roots. A number's opposite is that same number with a different sign in front.
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