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Reduce (a+b)^(2)

Reduce\newline(a+b)2 (a+b)^{2}

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. Reduce\newline(a+b)2 (a+b)^{2}
  1. Apply Binomial Theorem: To expand the expression (a+b)2(a+b)^{2}, we will apply the binomial theorem or use the formula for the square of a binomial, which is (x+y)2=x2+2xy+y2(x+y)^{2} = x^{2} + 2xy + y^{2}.
  2. Identify xx and yy: First, we identify the terms xx and yy from our expression, where x=ax = a and y=by = b.
  3. Substitute and Expand: Now, we substitute aa for xx and bb for yy into the formula: (a+b)2=a2+2ab+b2(a+b)^{2} = a^2 + 2ab + b^2.
  4. Calculate Each Term: We perform the calculations for each term: a2a^2 is the square of aa, 2ab2ab is two times the product of aa and bb, and b2b^2 is the square of bb.
  5. Final Expanded Form: The expanded form of (a+b)2(a+b)^{2} is therefore a2+2ab+b2a^2 + 2ab + b^2.

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