Question

Usando a expansão do binômio de newton, desenvolva:
a) (x+2)^5
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Answer 1

Resposta:

(x+2)⁵=C5,0 *x⁵⁻⁰ *2⁰ +C5,1 *x⁵⁻¹ *2¹+C5,2*x⁵⁻²*2²+C5,3*x⁵⁻³*2³+C5,4*x⁵⁻⁴*2⁴+C5,5*x⁵⁻⁵*2⁵

(x+5)⁵= 1 * x⁵ * 1 + 5*x⁴*2+10*x³*4+10*x²*8+5*x*16+1*x⁰*32

(x+5)⁵=x⁵+10x⁴+40x³+80x²+80x+32