(a+b)(c+d) Answer

2 min read Jul 03, 2024

(a+b)(c+d) = ?

Expanding the Expression

In algebra, we often come across expressions that involve the product of two binomials. One such expression is (a+b)(c+d). To evaluate this expression, we need to follow the order of operations (PEMDAS) and multiply each term in the first binomial with each term in the second binomial.

The Formula

The formula for expanding (a+b)(c+d) is:

(a+b)(c+d) = ac + ad + bc + bd

How it Works

Let's break down the multiplication process step by step:

Multiply a with c and d: ac + ad
Multiply b with c and d: bc + bd
Combine the two results: ac + ad + bc + bd

Example

Let's say we want to evaluate (2+x)(3+y). Using the formula, we get:

(2+x)(3+y) = (2)(3) + (2)(y) + (x)(3) + (x)(y) (2+x)(3+y) = 6 + 2y + 3x + xy

Conclusion

In conclusion, the expansion of (a+b)(c+d) is ac + ad + bc + bd. This formula is a fundamental concept in algebra and is used extensively in various mathematical operations.