Question

Given: ∆abc amwrite each polynomial as the square of a binomial or as an expression opposite to the square of a binomial. 0.25x^(2)-0.6xy 0.36y^(2)=mb md=dc a____.

Answer 1

The polynomial 0.25x^2 - 0.6xy + 0.36y^2 is a perfect square trinomial and can be written as the square of the binomial (0.5x - 0.6y)^2.

Step-by-step explanation:

The student appears to be asking for help with writing a given polynomial as the square of a binomial or an expression that is opposite to the square of a binomial. The polynomial in question seems to be 0.25x^2 - 0.6xy + 0.36y^2, although the question contains a few typos and missing parts which may make it a bit unclear. The usual approach to this kind of problem involves completing the square or factoring, assuming the given polynomial is a perfect square trinomial.

To determine if this polynomial is a perfect square trinomial, we can inspect the first and last terms. If they are perfect squares and the middle term is twice the product of the square roots of the first and last terms with a matching sign, then the trinomial can indeed be written as the square of a binomial.

In this case, (0.5x)^2 = 0.25x^2 and (0.6y)^2 = 0.36y^2, and the middle term -0.6xy is equal to 2*(0.5x)*(0.6y) with a negative sign. Thus, the polynomial can be expressed as the square of the binomial (0.5x - 0.6y)^2.