Which expressions are equivalent to 25x^4–64? select three options.

a. 25x^4+40x–40x–64

b. 25x^4+13x–13x–64

c. (5x^2+8)(5x^2–8)

d. (x^2+13)(x^2–13)

e. (5x^2–8)^2

Step-by-step explanation:

The given expression is:

25 - 64

To find, the equivalent expressions are:

a) 25 + 40x - 40x - 64

=  25 - 64, is the equivalent expression.

b) 25 + 13x - 13x - 64

=  25 - 64, is the equivalent expression.

c) (5 + 8)(5 - 8)

Using the algebraic identity,

(a + b)(a - b) =

=

=  25 - 64, is the equivalent expression.

d) ( + 13)( - 13)

Using the algebraic identity,

(a + b)(a - b) =

=

=   - 169, is not a equivalent expression.

e)

Using the algebraic identity,

,  is not a equivalent expression.

∴ The equivalent expression of 25 - 64 are "a), b) and c)".