Add $20 s^{7} + 360 s^{6} + 2700 s^{5} + 11200 s^{4} + 27480 s^{3} + 37440 s^{2} + 21600 s$ and $s^{7} + 36 s^{6} + 512 s^{5} + 3634 s^{4} + 13287 s^{3} + 22730 s^{2} + 12600 s$ .

Answer

$(20 s^{7} + 360 s^{6} + 2700 s^{5} + 11200 s^{4} + 27480 s^{3} + 37440 s^{2} + 21600 s) + (s^{7} + 36 s^{6} + 512 s^{5} + 3634 s^{4} + 13287 s^{3} + 22730 s^{2} + 12600 s) = 21 s^{7} + 396 s^{6} + 3212 s^{5} + 14834 s^{4} + 40767 s^{3} + 60170 s^{2} + 34200 s$

Explanation

Step 1: Write second polynomial below the first one. Making sure like terms are lined up.

+ 20 s^{7} s^{7} 360 s^{6} 36 s^{6} 2700 s^{5} 512 s^{5} 11200 s^{4} 3634 s^{4} 27480 s^{3} 13287 s^{3} 37440 s^{2} 22730 s^{2} 21600 s 12600 s

Step 2: Combine like terms (add each column):

+ 20 s^{7} s^{7} 21 s^{7} 360 s^{6} 36 s^{6} 396 s^{6} 2700 s^{5} 512 s^{5} 3212 s^{5} 11200 s^{4} 3634 s^{4} 14834 s^{4} 27480 s^{3} 13287 s^{3} 40767 s^{3} 37440 s^{2} 22730 s^{2} 60170 s^{2} 21600 s 12600 s 34200 s

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Add 20s7+360s6+2700s5+11200s4+27480s3+37440s2+21600s and s7+36s6+512s5+3634s4+13287s3+22730s2+12600s.

(20s7+360s6+2700s5+11200s4+27480s3+37440s2+21600s)+(s7+36s6+512s5+3634s4+13287s3+22730s2+12600s)=21s7+396s6+3212s5+14834s4+40767s3+60170s2+34200s

Add $20 s^{7} + 360 s^{6} + 2700 s^{5} + 11200 s^{4} + 27480 s^{3} + 37440 s^{2} + 21600 s$ and $s^{7} + 36 s^{6} + 512 s^{5} + 3634 s^{4} + 13287 s^{3} + 22730 s^{2} + 12600 s$ .

$(20 s^{7} + 360 s^{6} + 2700 s^{5} + 11200 s^{4} + 27480 s^{3} + 37440 s^{2} + 21600 s) + (s^{7} + 36 s^{6} + 512 s^{5} + 3634 s^{4} + 13287 s^{3} + 22730 s^{2} + 12600 s) = 21 s^{7} + 396 s^{6} + 3212 s^{5} + 14834 s^{4} + 40767 s^{3} + 60170 s^{2} + 34200 s$