What is factor 10x^3-15x^2+12x-18 ?

The solution to factor 10x^3-15x^2+12x-18 is (2x-3)(5x^2+6)

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factor 10x^3-15x^2+12x-18

factor

10 x^{3} - 15 x^{2} + 12 x - 18

(2 x - 3) (5 x^{2} + 6)

Solution steps

10 x^{3} - 15 x^{2} + 12 x - 18

= (10 x^{3} - 15 x^{2}) + (12 x - 18)

Factor out

5 x^{2}

from

10 x^{3} - 15 x^{2} : 5 x^{2} (2 x - 3)

Factor out

6

from

12 x - 18 : 6 (2 x - 3)

= 5 x^{2} (2 x - 3) + 6 (2 x - 3)

Factor out common term

2 x - 3

= (2 x - 3) (5 x^{2} + 6)

4 (8)

32 \cdot 3

x^{4} - 625

\frac{66}{6}

n^{2} - 28 = 0

What is factor 10x^3-15x^2+12x-18 ?
The solution to factor 10x^3-15x^2+12x-18 is (2x-3)(5x^2+6)