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Popular >

factor 64c^3+27

Solution

factor

64 c^{3} + 27

Solution

(4 c + 3) (16 c^{2} - 12 c + 9)

Solution steps

64 c^{3} + 27

Apply exponent rules

= (4 c)^{3} + 3^{3}

Apply Sum of Cubes Formula:

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

(4 c)^{3} + 3^{3} = (4 c + 3) (4^{2} c^{2} - 3 \cdot 4 c + 3^{2})

= (4 c + 3) (4^{2} c^{2} - 3 \cdot 4 c + 3^{2})

Simplify

(4 c + 3) (4^{2} c^{2} - 3 \cdot 4 c + 3^{2}) : (4 c + 3) (16 c^{2} - 12 c + 9)

= (4 c + 3) (16 c^{2} - 12 c + 9)

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Frequently Asked Questions (FAQ)

What is factor 64c^3+27 ?
The solution to factor 64c^3+27 is (4c+3)(16c^2-12c+9)