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Popular >

factor 8a^3+c^3

Solution

factor

8 a^{3} + c^{3}

Solution

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

Solution steps

8 a^{3} + c^{3}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

(2 a)^{3} + c^{3} = (2 a + c) ((2 a)^{2} - 2 a c + c^{2})

= (2 a + c) ((2 a)^{2} - 2 a c + c^{2})

Simplify

(2 a)^{2} - 2 a c + c^{2} : 4 a^{2} - 2 a c + c^{2}

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

Popular Examples

simplify 9+x-7 simplify

9 + x - 7

factor xy-15+5y-3x factor

x y - 15 + 5 y - 3 x

simplify (-6x-4)/(2x^3)+(x-7)/(2x^3)simplify

\frac{- 6 x - 4}{2 x ^{3}} + \frac{x - 7}{2 x ^{3}}

simplify \sqrt[3]{8/343}simplify

expand (8x-2)^3 expand

(8 x - 2)^{3}

Frequently Asked Questions (FAQ)

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