%5E2.jpeg "(5+6b^3)^2")
Expanding (5 + 6b^3)^2
This article will guide you through expanding the expression (5 + 6b^3)^2.
Understanding the Expression
The expression (5 + 6b^3)^2 represents the square of the binomial (5 + 6b^3). In other words, it is the product of (5 + 6b^3) multiplied by itself.
Expanding Using the FOIL Method
One way to expand this expression is by using the FOIL method. FOIL stands for First, Outer, Inner, Last. This method helps us systematically multiply each term in the first binomial by each term in the second binomial.
- First: Multiply the first terms of each binomial: 5 * 5 = 25
- Outer: Multiply the outer terms of the binomials: 5 * 6b^3 = 30b^3
- Inner: Multiply the inner terms of the binomials: 6b^3 * 5 = 30b^3
- Last: Multiply the last terms of the binomials: 6b^3 * 6b^3 = 36b^6
Now we have: 25 + 30b^3 + 30b^3 + 36b^6
Simplifying the Expression
Combine the like terms: 25 + 60b^3 + 36b^6
Final Result
Therefore, the expanded form of (5 + 6b^3)^2 is 25 + 60b^3 + 36b^6.