Question

Which equation is equivalent to f(x) = 16x4 – 81 = 0?

Answer 1

Answer:

The equivalent expression is:

$16x^4-81=(4x^2-9)(4x^2+9)$

Step-by-step explanation:

We have been given the equation:

$f(x)=16x^4-81=0$

Equivalent expression can be computed by solving the expression ai its maximum.

We can factorize the given equation:

By using $a^2-b^2=(a+b)(a-b)$

Here, $a=4x^2,b=9$

Hence, we get the equation below:

$16x^4-81=(4x^2-9)(4x^2+9)$

Therefore, the equivalent expression is:

$16x^4-81=(4x^2-9)(4x^2+9)$

Answer 2

Answer:

The answer is (4x2+9)(4x2-9)=0