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(x+3)^5 using pascal's triangle
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\[ (x+3)^5 = 1 x^5 + 5 x^4(3) + 10 x^3 (3^2) + 10 x^2 (3^3)+ 5 x (3)^4 + 3^5 \]
\[ (x+3)^5=x^5+15 x^4+90 x^3+270 x^2+405 x+243 \]
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