What is factor-400x^4y^4+9z^6 ?

The solution to factor-400x^4y^4+9z^6 is (3z^3+20x^2y^2)(3z^3-20x^2y^2)

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factor-400x^4y^4+9z^6

factor

- 400 x^{4} y^{4} + 9 z^{6}

(3 z^{3} + 20 x^{2} y^{2}) (3 z^{3} - 20 x^{2} y^{2})

Solution steps

- 400 x^{4} y^{4} + 9 z^{6}

Rewrite

400 x^{4} y^{4}

(20 x^{2} y^{2})^{2}

Rewrite

9 z^{6}

(3 z^{3})^{2}

= - (20 x^{2} y^{2})^{2} + (3 z^{3})^{2}

Apply Difference of Two Squares Formula:

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

(3 z^{3})^{2} - (20 x^{2} y^{2})^{2} = (3 z^{3} + 20 x^{2} y^{2}) (3 z^{3} - 20 x^{2} y^{2})

= (3 z^{3} + 20 x^{2} y^{2}) (3 z^{3} - 20 x^{2} y^{2})

4.5

3 x + e^{x (y)}

x^{- 18} + x^{18} + 2

8 y^{3} - 729 x^{6} z^{9}

5^{2} - 7 x + 9

What is factor-400x^4y^4+9z^6 ?
The solution to factor-400x^4y^4+9z^6 is (3z^3+20x^2y^2)(3z^3-20x^2y^2)