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

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

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factor 8a^3+27b^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

\frac{( a ^{2} - b ^{2} )}{a + b} - (a + b)^{2} + 2 (a^{2} + ab)

(5^{2})^{- 3}

(\frac{81}{16})^{- \frac{3}{4}}

- 8 x - 10 = 38

0.0000089 = x ((0.042) (0.042))

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