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Popular >

factor 125a^3+1

Solution

factor

125 a^{3} + 1

Solution

(5 a + 1) (25 a^{2} - 5 a + 1)

Solution steps

125 a^{3} + 1

Apply exponent rules

= (5 a)^{3} + 1^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(5 a)^{3} + 1^{3} = (5 a + 1) (5^{2} a^{2} - 5 a + 1)

= (5 a + 1) (5^{2} a^{2} - 5 a + 1)

5^{2} = 25

= (5 a + 1) (25 a^{2} - 5 a + 1)

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Frequently Asked Questions (FAQ)

What is factor 125a^3+1 ?
The solution to factor 125a^3+1 is (5a+1)(25a^2-5a+1)