(x%2B5)-answer.jpeg "(x+4)(x+5) Answer")
Expanding the Product of Two Binomials: (x+4)(x+5)
In algebra, expanding the product of two binomials is a fundamental concept. In this article, we will explore the expansion of the product (x+4)(x+5).
The Formula
The formula to expand the product of two binomials is:
(a+b)(c+d) = ac + ad + bc + bd
In our case, we will apply this formula to the product (x+4)(x+5).
Expansion
Let's start by multiplying the two binomials:
(x+4)(x+5) = ?
Using the formula above, we multiply the terms:
(x+4)(x+5) = x(x) + x(5) + 4(x) + 4(5)
Simplification
Now, let's simplify the expression:
(x+4)(x+5) = x^2 + 5x + 4x + 20
Combine like terms:
(x+4)(x+5) = x^2 + 9x + 20
And that's the final answer!
Conclusion
In conclusion, we have successfully expanded the product of two binomials, (x+4)(x+5), using the formula and simplifying the expression. The final answer is:
(x+4)(x+5) = x^2 + 9x + 20
This skill is essential in algebra and will be used in various mathematical operations and problem-solving exercises.
