What is x^2(x-3)(x+2)^3(x-4)^3 ?

The solution to x^2(x-3)(x+2)^3(x-4)^3 is x^2(x+2)^3(x-4)^3(x-3)

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simplify x^2(x-3)(x+2)^3(x-4)^3

simplify

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

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

Solution steps

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

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

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

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

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

2 t^{2} e^{- 2 t}

- e^{- 1.5}

e^{- s} ln (\frac{s}{s - 1})

What is x^2(x-3)(x+2)^3(x-4)^3 ?
The solution to x^2(x-3)(x+2)^3(x-4)^3 is x^2(x+2)^3(x-4)^3(x-3)