What is factor 8b^3+27c^3 ?

The solution to factor 8b^3+27c^3 is (2b+3c)(4b^2-6bc+9c^2)

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factor 8b^3+27c^3

factor

8 b^{3} + 27 c^{3}

(2 b + 3 c) (4 b^{2} - 6 b c + 9 c^{2})

Solution steps

8 b^{3} + 27 c^{3}

Apply exponent rules

= (2 b)^{3} + (3 c)^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(2 b)^{2} - 2 b \cdot 3 c + (3 c)^{2} : 4 b^{2} - 6 b c + 9 c^{2}

= (2 b + 3 c) (4 b^{2} - 6 b c + 9 c^{2})

\frac{3}{14 y} + \frac{y}{14}

7 (4)

7 (6)

e^{1 - 1}

7 - 19

What is factor 8b^3+27c^3 ?
The solution to factor 8b^3+27c^3 is (2b+3c)(4b^2-6bc+9c^2)