x^3-125y^3
1st & 2nd factors (divisor & quotient):
= (x³ - 125y³)/(x - 5y)
= x² + 5xy + 25y
Answer: (x - 5y)(x² + 5xy + 25y)
x^3 - 125y^3
Difference of two cubes
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Here a = x, b = 5y
(x - 5y)(x^2 + 5xy + 25y^2)
this is the form of a difference of two cubes
a^3 - b^3 = (a - b) (a^2 + ab + b^2)
(x - 5 y)( x^2 - 5xy + 25 y^2)
(x-5y)(x^2 + 5xy + 25y^2)
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Verified answer
1st & 2nd factors (divisor & quotient):
= (x³ - 125y³)/(x - 5y)
= x² + 5xy + 25y
Answer: (x - 5y)(x² + 5xy + 25y)
x^3 - 125y^3
Difference of two cubes
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Here a = x, b = 5y
(x - 5y)(x^2 + 5xy + 25y^2)
this is the form of a difference of two cubes
a^3 - b^3 = (a - b) (a^2 + ab + b^2)
(x - 5 y)( x^2 - 5xy + 25 y^2)
(x - 5y)(x^2 + 5xy + 25y^2)
(x-5y)(x^2 + 5xy + 25y^2)