2-solution.jpeg "(a+5)2 Solution")
Solving the Expression (a+5)²
In this article, we will discuss how to solve the expression (a+5)². This expression is a quadratic expression, and we will use the formula for the square of a binomial to expand and simplify it.
The Formula for the Square of a Binomial
The formula for the square of a binomial is:
(a+b)² = a² + 2ab + b²
Where a and b are the two terms in the binomial.
Applying the Formula to (a+5)²
Now, let's apply the formula to our expression (a+5)². We can substitute a and 5 into the formula:
(a+5)² = a² + 2a(5) + 5²
Simplifying the Expression
Next, we can simplify the expression by evaluating the terms:
(a+5)² = a² + 10a + 25
And that's the solution! We have successfully expanded and simplified the expression (a+5)².
Example
Let's say we want to find the value of (2+5)². We can substitute a = 2 into our solution:
(2+5)² = 2² + 10(2) + 25 (2+5)² = 4 + 20 + 25 (2+5)² = 49
Therefore, the value of (2+5)² is 49.
Conclusion
In this article, we have learned how to solve the expression (a+5)² using the formula for the square of a binomial. We have expanded and simplified the expression, and even worked through an example to illustrate the process.
