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If (1 + x + 2x^2)^20 = a0 + a1x + a2x^2 + a3x^3 +.......+ a40x^40, then a0 + a2 + a4 +........+ a38 is equal to

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If (1 + x + 2x2)20 = a0 + a1x + a2x2 + a3x3 +.......+ a40x40, then a0 + a2 + a4 +........+ a38 is equal to

a. 219(220 – 1)

b. 220(219 – 1)

c. 219(220 + 1)

d. none of these

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1 Answer

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Correct option is a. 219(220 – 1)

Put x =1 and x = –1 and adding we get 420 + 220 = 2(a0 + a2 + a4 +....+ a38 + a40)

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