(x%2B3)-solve-using-identity.jpeg "(x+3)(x+3) Solve Using Identity")
Solving (x + 3)(x + 3) using the Identity
This problem involves expanding the expression (x + 3)(x + 3) using an algebraic identity.
Understanding the Identity
We can utilize the square of a binomial identity:
(a + b)² = a² + 2ab + b²
In our case, 'a' is 'x' and 'b' is '3'.
Applying the Identity
Let's substitute the values into the identity:
(x + 3)² = x² + 2(x)(3) + 3²
Simplifying the Expression
Now, simplify the expression by performing the multiplication and squaring:
(x + 3)² = x² + 6x + 9
Final Result
Therefore, the expanded form of (x + 3)(x + 3) using the identity is x² + 6x + 9.