What is factor 4ax^3-3b+4a-3bx^3 ?

The solution to factor 4ax^3-3b+4a-3bx^3 is (x^2+1-x)(1+x)(4a-3b)

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factor 4ax^3-3b+4a-3bx^3

factor

4 a x^{3} - 3 b + 4 a - 3 b x^{3}

(x^{2} + 1 - x) (1 + x) (4 a - 3 b)

Solution steps

4 a x^{3} - 3 b + 4 a - 3 b x^{3}

Rewrite as

= 4 a x^{3} - 3 b + 1 \cdot 4 a - 3 b x^{3}

Factor out common term

4 a

= 4 a (x^{3} + 1) - 3 b - 3 b x^{3}

Factor

x^{3} + 1 : (x + 1) (x^{2} - x + 1)

= - 3 b x^{3} + 4 a (x + 1) (x^{2} - x + 1) - 3 b

Rewrite as

= 4 a (1 + x) (x^{2} + 1 - x) - 1 \cdot 3 b - 3 b x^{3}

Factor out common term

3 b

= 4 a (1 + x) (x^{2} + 1 - x) - 3 b (1 + x^{3})

Factor

x^{3} + 1 : (x + 1) (x^{2} - x + 1)

= 4 a (x + 1) (x^{2} - x + 1) - 3 b (x + 1) (x^{2} - x + 1)

Factor out common term

(x^{2} + 1 - x) (1 + x)

= (x^{2} + 1 - x) (1 + x) (4 a - 3 b)

5 sin (4 x - 2) - 3

- 4 x + (- 7 y)

5 a x + a y - 5 b x - b y

\frac{x ^{3} + 64}{x + 4}

What is factor 4ax^3-3b+4a-3bx^3 ?
The solution to factor 4ax^3-3b+4a-3bx^3 is (x^2+1-x)(1+x)(4a-3b)