Question

(ax³+2)²=a²x⁶+x³+4: Find the value of a​

Answer 1

Answer:

$a=\frac{1}{4}$

Step-by-step explanation:

As you know, $(a+b)^{2} =a^{2} +2ab+b^{2}$

so $(ax^{3}+2)^{2}$ is equal to:

$a^{2}x^{6}+4ax^{3}+4$, now we simplified the left side.

Now, let the left side be equal to the right side.

$a^{2}x^{6}+4ax^{3}+4=a^{2}x^{6} +x^{3}+4$

We can remove $a^{2} x^{6}$ and $4$ from both sides:

$4ax^{3}=x^{3}$ , first, divide both sides by $x^{3}$ :

4a=1 , And now you can divide both sides by 4.

$a=\frac{1}{4}$