(x%2Bb)-formula-class-8.jpeg "(x+a)(x+b) Formula Class 8")
Formula for (x+a)(x+b) in Class 8
In algebra, we often come across expressions that involve the product of two binomials, such as (x+a) and (x+b). In this article, we will learn about the formula for (x+a)(x+b) and how to apply it in different problems.
The Formula
The formula for (x+a)(x+b) is:
(x+a)(x+b) = x^2 + (a+b)x + ab
This formula can be used to expand the product of two binomials, where 'x' is a variable and 'a' and 'b' are constants.
How to Apply the Formula
Let's see how to apply the formula in a simple problem:
Example 1: Expand (x+3)(x+5)
Using the formula, we get:
(x+3)(x+5) = x^2 + (3+5)x + (3)(5) (x+3)(x+5) = x^2 + 8x + 15
Thus, the expanded form of (x+3)(x+5) is x^2 + 8x + 15.
Example 2: Expand (x-2)(x+7)
Using the formula, we get:
(x-2)(x+7) = x^2 + (-2+7)x + (-2)(7) (x-2)(x+7) = x^2 + 5x - 14
Thus, the expanded form of (x-2)(x+7) is x^2 + 5x - 14.
Importance of the Formula
The formula for (x+a)(x+b) is an important algebraic identity that is used in various mathematical operations, such as factoring, solving quadratic equations, and graphing functions. Mastering this formula can help you to solve complex problems with ease and build a strong foundation in algebra.
Conclusion
In this article, we have learned about the formula for (x+a)(x+b) and how to apply it in different problems. The formula is an essential tool in algebra that can help you to simplify complex expressions and solve problems efficiently. With practice and patience, you can master this formula and become proficient in algebra.
