Question

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

Answer 1

Answer: it’s A, B,C

Step-by-step explanation:

Answer 2

The equivalent expression of 25$x^4$ - 64 are "a), b) and c)".

Step-by-step explanation:

The given expression is:

25$x^4$ - 64

To find, the equivalent expressions are:

a) 25$x^4$ + 40x - 40x - 64

=  25$x^4$ - 64, is the equivalent expression.

b) 25$x^4$ + 13x - 13x - 64

=  25$x^4$ - 64, is the equivalent expression.

c) (5$x^2$ + 8)(5$x^2$ - 8)

Using the algebraic identity,

(a + b)(a - b) = $a^{2}-b^{2}$

= $(5x^2)^2-8^2$

=  25$x^4$ - 64, is the equivalent expression.

d) ($x^2$ + 13)($x^2$ - 13)

Using the algebraic identity,

(a + b)(a - b) = $a^{2}-b^{2}$

= $(x^2)^2-13^2$

=  $x^4$ - 169, is not a equivalent expression.

e) $(5x^2-8)^2$

Using the algebraic identity,

$(a-b)^{2} =a^{2} -2ab+b^2$

$= (5x^2)^{2} -2(5x^2)(8)+8^2$

$= 25x^4 -80x^2+64$,  is not a equivalent expression.

∴ The equivalent expression of 25$x^4$ - 64 are "a), b) and c)".