7
QuizMultiple Choice

Multiplying Monomials and Binomials — Quiz

Question 7 • Algebra I

Which shows a perfect square trinomial?

Answer
A
49 x squared minus 70 x y plus 10 y squared
B
16 x squared plus 24 x y plus 9 y squared
C
50 y squared minus 4 x squared
D
100 minus 36 x squared y squared

Explanation

A perfect square trinomial has the form a² + 2ab + b² or a² − 2ab + b². In choice B, 16x² = (4x)² and 9y² = (3y)², while the middle term 24xy equals 2(4x)(3y). Therefore, B is (4x + 3y)², a perfect square trinomial.

AI-written and checked against the verified answer.

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