What is (y^2+1)^3(y+1)^3(y-1)^3 ?

The solution to (y^2+1)^3(y+1)^3(y-1)^3 is (y+1)^3(y-1)^3(y^2+1)^3

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simplify (y^2+1)^3(y+1)^3(y-1)^3

simplify

(y^{2} + 1)^{3} (y + 1)^{3} (y - 1)^{3}

(y + 1)^{3} (y - 1)^{3} (y^{2} + 1)^{3}

Solution steps

(y^{2} + 1)^{3} (y + 1)^{3} (y - 1)^{3}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(y^{2} + 1)^{3} (y + 1)^{3} (y - 1)^{3} = ((y^{2} + 1) (y + 1) (y - 1))^{3}

= ((y^{2} + 1) (y + 1) (y - 1))^{3}

Apply exponent rule:

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

= (y^{2} + 1)^{3} (y + 1)^{3} (y - 1)^{3}

3.095 \cdot 1 0^{- 3}

1.8 \cdot e^{- 2 \cdot 1.8}

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

(e^{x} + e^{- x}) \cdot (e^{x} + e^{- x})

4 - t \cdot t

What is (y^2+1)^3(y+1)^3(y-1)^3 ?
The solution to (y^2+1)^3(y+1)^3(y-1)^3 is (y+1)^3(y-1)^3(y^2+1)^3