What is (A+B)⁹?
You do A⁹
Next you do (A+A+A+A+A+A+A+A) times B which equals A⁸B
Next you do (A+A+A+A+A+A+A) times (B+B) which equals A⁷B²
Next you do (A+A+A+A+A+A) times (B+B+B) which equals A⁶B³
Next yo do (A+A+A+A+A) times (B+B+B+B) which equals A⁵B⁴
Next you do (A+A+A+A) times (B+B+B+B+B) which equals A⁴B⁵
Next you do (A+A+A) times (B+B+B+B+B) which equals A³B⁶
Next you do (A+A) times (B+B+B+B+B+B+B) which equals A²B⁷
Next you do A times (B+B+B+B+B+B+B+B) which equals AB⁸
Lastily you do B⁹
Now you put the answer together
=A⁹ + A⁸B + A⁷B² + A⁶B³ A⁵B⁴ + A⁴B⁵ + A³B⁶ + A²B⁷ + AB⁸ + B⁹
Now you put the answer together
=A⁹ + A⁸B + A⁷B² + A⁶B³ A⁵B⁴ + A⁴B⁵ + A³B⁶ + A²B⁷ + AB⁸ + B⁹
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