What is factor (24x^4-15x^2+6x)-(10x^4+5x^2-4x) ?

The solution to factor (24x^4-15x^2+6x)-(10x^4+5x^2-4x) is 2x(7x^3-10x+5)

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factor (24x^4-15x^2+6x)-(10x^4+5x^2-4x)

factor

(24 x^{4} - 15 x^{2} + 6 x) - (10 x^{4} + 5 x^{2} - 4 x)

2 x (7 x^{3} - 10 x + 5)

Solution steps

(24 x^{4} - 15 x^{2} + 6 x) - (10 x^{4} + 5 x^{2} - 4 x)

Factor

24 x^{4} - 15 x^{2} + 6 x : 3 x (8 x^{3} - 5 x + 2)

Factor

10 x^{4} + 5 x^{2} - 4 x : x (10 x^{3} + 5 x - 4)

= 3 x (8 x^{3} - 5 x + 2) - x (10 x^{3} + 5 x - 4)

Factor out common term

x

= x (3 (8 x^{3} - 5 x + 2) - (10 x^{3} + 5 x - 4))

Expand

3 (8 x^{3} - 5 x + 2) - (10 x^{3} + 5 x - 4) : 14 x^{3} - 20 x + 10

= x (14 x^{3} - 20 x + 10)

Factor

14 x^{3} - 20 x + 10 : 2 (7 x^{3} - 10 x + 5)

= x \cdot 2 (7 x^{3} - 10 x + 5)

= 2 x (7 x^{3} - 10 x + 5)

3 (3) + 10 (5) \leq 8

\frac{1}{16} - 9 z^{2}

2 x^{2} + 200 = 0

y^{2} + 6 y + 9 = 0

∣ 4 x - 2 ∣ < 10

What is factor (24x^4-15x^2+6x)-(10x^4+5x^2-4x) ?
The solution to factor (24x^4-15x^2+6x)-(10x^4+5x^2-4x) is 2x(7x^3-10x+5)