Answer:
Option C is correct, i.e. 16x² + 24xy + 9y² = (4x + 3y)²
Explanation:
Perfect square trinomial is an algebraic expression of three terms which can be combined into a squared binomial like (a+b)^2 = a^2 + 2ab + b^2.
From the given options, we can eliminate first two options because they have only two terms (they are not trinomials).
Checking 3rd option:- 16x² + 24xy + 9y²
16x² + 24xy + 9y² = (4x)² + 2(4x)(3y) + (3y)²
16x² + 24xy + 9y² = (4x + 3y)²
Checking 4th option:- 49x² - 70xy + 10y²
49x² - 70xy + 10y² = (7x)² - 2(7x)(5y) + 10y²
Hence, option C is correct, i.e. 16x² + 24xy + 9y² = (4x + 3y)²