Question

In a trinomial the first and third terms are perfect squares, the middle term is 72xy, the trinomial is

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Answer 1

middle term = 72 xy

72 xy = 2 × 36 × xy

therefore a × b = 36

as both are perfect squares, a => 9 and b = 4

the polynomial is ax² + 2 abxy + by²

by substituting the values of a and b, we get

9x² + 2*9*4*xy + 4y²

=> 9x² + 72 xy + 4y²