What is factor a^3x^2-5a^3x+6a^3+x^2-5x+6 ?

The solution to factor a^3x^2-5a^3x+6a^3+x^2-5x+6 is (x-2)(x-3)(a+1)(a^2-a+1)

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factor a^3x^2-5a^3x+6a^3+x^2-5x+6

factor

a^{3} x^{2} - 5 a^{3} x + 6 a^{3} + x^{2} - 5 x + 6

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

Solution steps

a^{3} x^{2} - 5 a^{3} x + 6 a^{3} + x^{2} - 5 x + 6

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

Factor out

a^{3}

from

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

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

Factor out common term

(x^{2} - 5 x + 6) : (x^{2} - 5 x + 6) (a^{3} + 1)

= (x^{2} - 5 x + 6) (a^{3} + 1)

Factor

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

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

Factor

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

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

(8^{x})^{x} - 8^{x} - 3

x^{2} - 3 x y

\frac{x}{5} - \frac{( x - 2 )}{3} + x

l (sin^{3} (t) - cos^{2} (t) + sin^{2} (t) + cos^{3} (t))

4 x^{4} - x^{2} - 16 x + 8

What is factor a^3x^2-5a^3x+6a^3+x^2-5x+6 ?
The solution to factor a^3x^2-5a^3x+6a^3+x^2-5x+6 is (x-2)(x-3)(a+1)(a^2-a+1)