Question

a divided by b plus b divided by a multiplied by a divided by b minus b divided by a​

Answer 1

Answer:

a/b+b/a*a/b-a/b-b/a

=(a/b-b/a)^2

Answer 2

Answer:

The solution is $\frac{a^{4}-b^{4}}{a^{2}b^{2}}$.

Step-by-step explanation:

The expression is:

$(\frac{a}{b}+\frac{b}{a})(\frac{a}{b}-\frac{b}{a})$

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

Use this formula to compute the solution of the given expression as follows:

$(\frac{a}{b}+\frac{b}{a})(\frac{a}{b}-\frac{b}{a})=(\frac{a}{b})^{2}-(\frac{b}{a})^{2}=\frac{a^{2}}{b^{2}}-\frac{b^{2}}{a^{2}}=\frac{a^{4}-b^{4}}{a^{2}b^{2}}$

Thus, the solution is $\frac{a^{4}-b^{4}}{a^{2}b^{2}}$.