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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

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

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

((\frac{3}{5})^{4})^{- 2}^{3}

(x^{4} y^{5}) (5 x^{8} y^{3} z^{5})

(9 a x^{2} y^{3} z) (3 b x^{3} y^{5} z^{2})

4500 e^{- 0.15 (4)}

0.05 \cdot 1 0^{- 6}

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