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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

10 e^{- 10 0^{5} \cdot (0.0001)}

(3 x^{3} y^{3}) (7 x^{3} y^{3})

14.5 e^{- 0.027 t}

0.1 e^{- 0.1 (5)}

(155) (36)

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