What is expand (a^x-b^y)^2 ?

The solution to expand (a^x-b^y)^2 is a^{2x}-2a^xb^y+b^{2y}

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expand (a^x-b^y)^2

expand

(a^{x} - b^{y})^{2}

a^{2 x} - 2 a^{x} b^{y} + b^{2 y}

Solution steps

(a^{x} - b^{y})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= a^{2 x} - 2 a^{x} b^{y} + b^{2 y}

\frac{8 !}{3 ! \cdot 5 !}

\frac{36 x ^{4} y ^{5}}{( 3 x y ) ^{2}}

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

(a - 3 b) - 3 (a - 2 b)

6 x^{2} - 9 x + 18

What is expand (a^x-b^y)^2 ?
The solution to expand (a^x-b^y)^2 is a^{2x}-2a^xb^y+b^{2y}