## Squaring the Expression: (5/7u^2 + 4)^2

This article will guide you through squaring the expression (5/7u^2 + 4)^2. We will use the concept of **FOIL** (First, Outer, Inner, Last) method to expand the expression and then simplify it.

### Expanding the Expression

Squaring an expression means multiplying it by itself. Therefore, we can rewrite the expression as:

(5/7u^2 + 4)^2 = (5/7u^2 + 4) * (5/7u^2 + 4)

Now, we can apply the FOIL method:

**First:**(5/7u^2) * (5/7u^2) =**25/49u^4****Outer:**(5/7u^2) * (4) =**20/7u^2****Inner:**(4) * (5/7u^2) =**20/7u^2****Last:**(4) * (4) =**16**

### Simplifying the Expression

Combining like terms, we have:

25/49u^4 + 20/7u^2 + 20/7u^2 + 16 = **25/49u^4 + 40/7u^2 + 16**

Therefore, the simplified form of (5/7u^2 + 4)^2 is **25/49u^4 + 40/7u^2 + 16**.

### Summary

We have successfully expanded and simplified the expression (5/7u^2 + 4)^2 using the FOIL method and combining like terms. The final result is 25/49u^4 + 40/7u^2 + 16.