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Popular >

factor 27x^3+64

Solution

factor

27 x^{3} + 64

Solution

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

Solution steps

27 x^{3} + 64

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

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\frac{2}{9} \cdot (- \frac{3}{7}) \cdot (\frac{14}{5})

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(2 a^{3} a^{2})^{4}

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Frequently Asked Questions (FAQ)

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