What is 50x^2(x-y)^2-8y^2(x-y)^2 ?

The solution to 50x^2(x-y)^2-8y^2(x-y)^2 is 50x^4-100x^3y+42x^2y^2+16xy^3-8y^4

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simplify 50x^2(x-y)^2-8y^2(x-y)^2

simplify

50 x^{2} (x - y)^{2} - 8 y^{2} (x - y)^{2}

50 x^{4} - 100 x^{3} y + 42 x^{2} y^{2} + 16 x y^{3} - 8 y^{4}

Solution steps

50 x^{2} (x - y)^{2} - 8 y^{2} (x - y)^{2}

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

= 50 x^{2} (x^{2} - 2 x y + y^{2}) - 8 y^{2} (x - y)^{2}

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

= 50 x^{2} (x^{2} - 2 x y + y^{2}) - 8 y^{2} (x^{2} - 2 x y + y^{2})

Expand

50 x^{2} (x^{2} - 2 x y + y^{2}) : 50 x^{4} - 100 x^{3} y + 50 x^{2} y^{2}

= 50 x^{4} - 100 x^{3} y + 50 x^{2} y^{2} - 8 y^{2} (x^{2} - 2 x y + y^{2})

Expand

- 8 y^{2} (x^{2} - 2 x y + y^{2}) : - 8 x^{2} y^{2} + 16 x y^{3} - 8 y^{4}

= 50 x^{4} - 100 x^{3} y + 50 x^{2} y^{2} - 8 x^{2} y^{2} + 16 x y^{3} - 8 y^{4}

Add similar elements:

50 x^{2} y^{2} - 8 x^{2} y^{2} = 42 x^{2} y^{2}

= 50 x^{4} - 100 x^{3} y + 42 x^{2} y^{2} + 16 x y^{3} - 8 y^{4}

\frac{2 x}{5 + 1 - 13}

7 \frac{m}{s ^{2}}

l [2^{t}]

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

n^{0.1} + (n - 1) \cdot 0.2 + (n - 2) \cdot 0.3 + (n - 3) \cdot 0.4

What is 50x^2(x-y)^2-8y^2(x-y)^2 ?
The solution to 50x^2(x-y)^2-8y^2(x-y)^2 is 50x^4-100x^3y+42x^2y^2+16xy^3-8y^4