Question

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

24ab-16a^2-9b^2

Answer 1

Answer: The given trinomial, 24ab-16a^2-9b^2, can be written as an expression opposite to a square of a binomial.

To do this, we first factor out the greatest common factor of -4a, which gives us:

-4a(6b-4a-9b^2)

We can then factor -9b^2 as -(3b)^2, and group the remaining terms together:

-4a((3b-2a)^2-4a^2)

So the trinomial can be written as -4a( (3b-2a)^2 - 4a^2 ) which is an expression opposite to a square of a binomial (3b-2a)^2.

Explanation:

Answer 2

-(4a-3b)^2 is the answer