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Simplify: (x+1)2−7 (x+1)^2-7

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Full solution

Q. Simplify: (x+1)2−7 (x+1)^2-7
  1. Expand squared term: Step 11: Expand the squared term (x+1)2(x+1)^2 using the formula (a+b)2=a2+2ab+b2(a+b)^2 = a^2 + 2ab + b^2.\newlineCalculation: (x+1)2=x2+2×x×1+12=x2+2x+1(x+1)^2 = x^2 + 2\times x\times 1 + 1^2 = x^2 + 2x + 1
  2. Subtract from expanded form: Step 22: Subtract 77 from the expanded form of (x+1)2(x+1)^2.\newlineCalculation: (x2+2x+1)−7=x2+2x+1−7=x2+2x−6(x^2 + 2x + 1) - 7 = x^2 + 2x + 1 - 7 = x^2 + 2x - 6

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