What is factor 8a^3+125b^3 ?

The solution to factor 8a^3+125b^3 is (2a+5b)(4a^2-10ab+25b^2)

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factor 8a^3+125b^3

factor

8 a^{3} + 125 b^{3}

(2 a + 5 b) (4 a^{2} - 10 ab + 25 b^{2})

Solution steps

8 a^{3} + 125 b^{3}

Apply exponent rules

= (2 a)^{3} + (5 b)^{3}

Apply Sum of Cubes Formula:

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

(2 a)^{3} + (5 b)^{3} = (2 a + 5 b) ((2 a)^{2} - 2 a \cdot 5 b + (5 b)^{2})

= (2 a + 5 b) ((2 a)^{2} - 2 a \cdot 5 b + (5 b)^{2})

Simplify

(2 a)^{2} - 2 a \cdot 5 b + (5 b)^{2} : 4 a^{2} - 10 ab + 25 b^{2}

= (2 a + 5 b) (4 a^{2} - 10 ab + 25 b^{2})

9 x^{2} - 13 x + 4

6 x - x^{2}

5 k^{2} + 12 k + 7

3.6 = (0) t - \frac{1}{2} (10) t^{2}

\frac{5}{2} + \frac{3}{2}

What is factor 8a^3+125b^3 ?
The solution to factor 8a^3+125b^3 is (2a+5b)(4a^2-10ab+25b^2)