Question

Write the polynomial as a square of a binomial or as an expression opposite to a square of a binomial:

A) 0.25x^2–0.6xy +0.36y^2
b)–a^2+0.6a–0.09
c)9/16a^4+a^3+ 4/9a^2
d)–16m^2–24mn –9n^2

Answer 1

To write the given polynomials as a square of a binomial or as an expression opposite to a square of a binomial, we can factorize each polynomial.

Step-by-step explanation:

To write the given polynomials as a square of a binomial or as an expression opposite to a square of a binomial, we need to factorize the polynomial. Let's go through each polynomial:

A) 0.25x²–0.6xy +0.36y² = (0.5x - 0.6y)²

b)–a² +0.6a–0.09 = -(a - 0.3)²

c)9/16a⁴ +a³+ 4/9a² = (3/4a² + a)²

d)–16m²–24mn –9n² = -(4m + 3n)²