What is factor b^3-8c^3 ?

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

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factor b^3-8c^3

factor

b^{3} - 8 c^{3}

(b - 2 c) (b^{2} + 2 b c + 4 c^{2})

Solution steps

b^{3} - 8 c^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

b^{2} + b \cdot 2 c + (2 c)^{2} : b^{2} + 2 b c + 4 c^{2}

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

9 x^{\frac{3}{2}} \cdot (3 x)^{\frac{- 1}{2}}

\frac{( 9 + 12 a + 4 a ^{2} )}{( b ^{2} )}

\frac{100}{2 x [ 47 - ( 30 - 2 ^{3} ) ]}

x + (110 - 5 x)

\frac{0}{1 ^{x}}

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