What is factor 30x^3+15^2-18x-9 ?

The solution to factor 30x^3+15^2-18x-9 is 6(5x^3-3x+36)

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factor 30x^3+15^2-18x-9

factor

30 x^{3} + 1 5^{2} - 18 x - 9

6 (5 x^{3} - 3 x + 36)

Solution steps

30 x^{3} + 1 5^{2} - 18 x - 9

15 = 3 \cdot 5

= 2^{1} \cdot 3^{1} \cdot 5^{1} x^{3} + (3 \cdot 5)^{2} - 3^{2} \cdot 2^{1} x - 3^{2}

Apply exponent rule:

(ab)^{c} = a^{c} b^{c}

= 2^{1} \cdot 3^{1} \cdot 5^{1} x^{3} + 3^{2} \cdot 5^{2} - 3^{2} \cdot 2^{1} x - 3^{2}

Rewrite as

= 3 \cdot 10 x^{3} + 3 \cdot 75 - 3 \cdot 6 x - 3 \cdot 3

Factor out common term

3

= 3 (10 x^{3} + 75 - 6 x - 3)

Factor

10 x^{3} - 6 x + 75 - 3 : 2 (5 x^{3} - 3 x + 36)

= 3 \cdot 2 (5 x^{3} - 3 x + 36)

Refine

= 6 (5 x^{3} - 3 x + 36)

- \frac{4}{9} x + 4

49

[- 25]

2 x^{2} + x^{2}

What is factor 30x^3+15^2-18x-9 ?
The solution to factor 30x^3+15^2-18x-9 is 6(5x^3-3x+36)