Which shows a perfect square trinomial? 50 y squared minus 4 x squared 100 minus 36 x squared y squared 16 x squared + 24 x y + 9 y squared 49 x squared minus 70 x y + 10 y squared
Answers
Trinomial: A trinomial is an algebraic expression containing three terms or three monomials. Trinomials are a form of polynomials with only three terms.
Examples:
Ax + By + Cz, a + b + c, ax + by + c, etc. are trinomials but Ax + b, a - c, etc. are not polynomials.
Answer:
The perfect square trinomial is
16x² + 24xy + 9y²
Solution:
• 1st expression = 50y² - 4x²
This is not even a trinomial, rather a binomial expression.
• 2nd expression = 100 - 36x²y²
This is not even a trinomial, rather a binomial expression.
• 3rd expression = 16x² + 24xy + 9y²
= (4x)² + (2 * 4x + 3y) + (3y)²
= (4x + 3y)²
The given expression is a trinomial and can be expressed as a perfect square.
• 4th expression = 49x² - 70xy + 10y²
This is a trinomial but cannot be expressed as a perfect square.
Answer:
C. 16 x squared + 24 x y + 9 y squared
Step-by-step explanation: