(x%2B8)-solve.jpeg "(x+8)(x+8) Solve")
Solving (x+8)(x+8)
This expression represents the multiplication of two identical binomials: (x+8) and (x+8). We can solve it using the FOIL method (First, Outer, Inner, Last) or simply by expanding the brackets.
1. Using FOIL Method
- First: Multiply the first terms of each binomial: x * x = x²
- Outer: Multiply the outer terms of the binomials: x * 8 = 8x
- Inner: Multiply the inner terms of the binomials: 8 * x = 8x
- Last: Multiply the last terms of each binomial: 8 * 8 = 64
Now, combine the terms: x² + 8x + 8x + 64
Finally, simplify the expression: x² + 16x + 64
2. Expanding the Brackets
- Treat (x+8) as a single unit and distribute it to each term inside the second bracket: (x+8) * (x+8) = (x+8) * x + (x+8) * 8
- Expand the brackets: x² + 8x + 8x + 64
- Simplify the expression: x² + 16x + 64
Therefore, the solution of (x+8)(x+8) is x² + 16x + 64.
This solution can also be seen as a perfect square trinomial since it is the result of squaring a binomial (x+8). This knowledge can be useful for factoring quadratic equations.