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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

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

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

(2^{3} \cdot (2^{3})^{3})^{- 4}

(4.3 X 1 0^{6}) (2 X 1 0^{7})

(X + 3)^{2} (X - 3)^{2}

320 e^{- 3.1 (0.6)}

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