%5E2.jpeg "(5/7u^2+4)^2")
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.