What is factor m^3+8a^3x^3 ?

The solution to factor m^3+8a^3x^3 is (m+2ax)(m^2-2max+4a^2x^2)

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factor m^3+8a^3x^3

factor

m^{3} + 8 a^{3} x^{3}

(m + 2 a x) (m^{2} - 2 ma x + 4 a^{2} x^{2})

Solution steps

m^{3} + 8 a^{3} x^{3}

Rewrite

8 a^{3} x^{3}

(2 a x)^{3}

= m^{3} + (2 a x)^{3}

Apply Sum of Cubes Formula:

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

m^{3} + (2 a x)^{3} = (m + 2 a x) (m^{2} - m 2 a x + (2 a x)^{2})

= (m + 2 a x) (m^{2} - m 2 a x + (2 a x)^{2})

Simplify

(m + 2 a x) (m^{2} - m \cdot 2 a x + (2 a x)^{2}) : (m + 2 a x) (m^{2} - 2 ma x + 4 a^{2} x^{2})

= (m + 2 a x) (m^{2} - 2 ma x + 4 a^{2} x^{2})

2 a x + 2 b x + 5 a - a y - b y + 5 b

m x + n x + m y + n y

+ 20 e^{5} f^{2} - 16 e^{2} f

12!

cos^{2} (x) + 3 cos (x) + 2

What is factor m^3+8a^3x^3 ?
The solution to factor m^3+8a^3x^3 is (m+2ax)(m^2-2max+4a^2x^2)