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

A)

B)

C)

D)

Step-by-step explanation:

The square of a binomial is the sum of: the square of the first terms, twice the product of the two terms, and the square of the last term.

To find the square of the binomial of the following polynomials you must:

A)

Apply radical rule:

Apply exponent rule:

Rewrite as

Apply perfect square formula:

B)

Multiply both sides by 100

Factor out common term -1

Break the expression into groups and factor out common terms

C)

Apply exponent rule:

Factor out common term

Factor

Find the Least Common Multiplier (LCM) of 16, 9 which is 144.

Multiply by LCM

Apply perfect square formula:

D)

Factor out common term -1

Break the expression into groups and factor out common terms