192k views
1 vote
Determine whether the binomial can be written as a difference of two squares.

(a) p9 – 25
(b) a8 – 18
(c) g2 – 36

User Brian Jew
by
4.6k points

1 Answer

2 votes

- "Technically, all of the choices can be written as a difference of squares. Just find the square root of both terms and use the formula.

However, I am going to assume that your problems want to know if the expressions can be written as a difference of two squares, where and are either variables with an even exponent or a perfect square, as this is what many instructors are asking for."

- "C.) We can apply it to Choice C, since g has an even exponent and 36 is a perfect square. Applying the formula, we get:

g^2 - 36 = (g + 6)(g - 6)"

(C.)g2 - 36

User Salil Surendran
by
5.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.