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(x+2)^(4)

(x+2)4 (x+2)^{4}

Full solution

Q. (x+2)4 (x+2)^{4}
  1. Expand using binomial theorem: We're gonna expand (x+2)4(x+2)^4 using the binomial theorem.\newline(x+2)4=x4+4(x3)(2)+6(x2)(22)+4(x)(23)+24(x+2)^4 = x^4 + 4(x^3)(2) + 6(x^2)(2^2) + 4(x)(2^3) + 2^4
  2. Calculate each term: Now let's do the math for each term. x4+8x3+24x2+32x+16x^4 + 8x^3 + 24x^2 + 32x + 16