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Popular >

factor 8x^6+27

Solution

factor

8 x^{6} + 27

Solution

(2 x^{2} + 3) (4 x^{4} - 6 x^{2} + 9)

Solution steps

8 x^{6} + 27

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(2 x^{2} + 3) (2^{2} x^{4} - 3 \cdot 2 x^{2} + 3^{2}) : (2 x^{2} + 3) (4 x^{4} - 6 x^{2} + 9)

= (2 x^{2} + 3) (4 x^{4} - 6 x^{2} + 9)

Popular Examples

factor x^3-3x^2+9x-7 factor

x^{3} - 3 x^{2} + 9 x - 7

x^{2} + 3 x + 2 < 0

7 x + 2 = 3 x - 8

simplify sqrt(11)*sqrt(11)simplify

11 \cdot 11

simplify sqrt(-1.21)simplify

- 1.21

Frequently Asked Questions (FAQ)

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