What is factor ax^3+bx^3-8a-8b ?

The solution to factor ax^3+bx^3-8a-8b is (x^2+4+2x)(-2+x)(a+b)

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factor ax^3+bx^3-8a-8b

factor

a x^{3} + b x^{3} - 8 a - 8 b

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

Solution steps

a x^{3} + b x^{3} - 8 a - 8 b

Factor out common term

a

= a (x^{3} - 8) + b x^{3} - 8 b

Factor

x^{3} - 8 : (x - 2) (x^{2} + 2 x + 4)

= b x^{3} + a (x - 2) (x^{2} + 2 x + 4) - 8 b

Factor out common term

b

= a (- 2 + x) (x^{2} + 4 + 2 x) + b (x^{3} - 8)

Factor

x^{3} - 8 : (x - 2) (x^{2} + 2 x + 4)

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

Factor out common term

(x^{2} + 4 + 2 x) (- 2 + x)

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

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

f g + f

3 x - 4 = - 16

\frac{3 m ^{2} + 2 m - 1}{m ^{2} - 1}

(\frac{2 n}{6 n + 4}) (\frac{3 n + 2}{3 n - 2})

What is factor ax^3+bx^3-8a-8b ?
The solution to factor ax^3+bx^3-8a-8b is (x^2+4+2x)(-2+x)(a+b)