What is expand (5x^2y^3z-2)^2 ?

The solution to expand (5x^2y^3z-2)^2 is 25x^4y^6z^2-20x^2y^3z+4

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expand (5x^2y^3z-2)^2

expand

(5 x^{2} y^{3} z - 2)^{2}

25 x^{4} y^{6} z^{2} - 20 x^{2} y^{3} z + 4

Solution steps

(5 x^{2} y^{3} z - 2)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(5 x^{2} y^{3} z - 2)^{2} = (5 x^{2} y^{3} z)^{2} - 2 \cdot 5 x^{2} y^{3} z \cdot 2 + 2^{2}

= (5 x^{2} y^{3} z)^{2} - 2 \cdot 5 x^{2} y^{3} z \cdot 2 + 2^{2}

Simplify

(5 x^{2} y^{3} z)^{2} - 2 \cdot 5 x^{2} y^{3} z \cdot 2 + 2^{2} : 25 x^{4} y^{6} z^{2} - 20 x^{2} y^{3} z + 4

= 25 x^{4} y^{6} z^{2} - 20 x^{2} y^{3} z + 4

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What is expand (5x^2y^3z-2)^2 ?
The solution to expand (5x^2y^3z-2)^2 is 25x^4y^6z^2-20x^2y^3z+4