For all n, (3n+5)2 = ?

Correct answer: D. 9n2+30n+25

  • A. 6n2+15n+ 10
  • B. 6n2+30n+25
  • C. 9n2+6n+ 10
  • D. 9n2+30n+25

Explanation

Expand the expression using (a+b)² =a2+2ab+b²: (3n)²+2x3n×5+52 Simplify using exponent rule with same exponent (ab)" =ar.b": 32 xn²+2x3n×5+ 52 Calculate the power: 9n²+2x3n×5+25 Multiply the monomials: 9n2+30n+25 get the result: True

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