Q.4.1 Simplify the expression

To simplify the expression , let’s break it down step by step. First, we calculate each component:

Now, we multiply these two results together:

Next, we simplify the fraction:

Thus, the simplified expression is .

Now, let’s explore some fun facts!

Who would’ve thought that expressions like can lead to a delightful simplification? Imagine this as a baking recipe where each ingredient (numbers and variables) combines harmoniously! It’s like starting with a triple helping of flour (the ) and then adjusting with the right proportions of other ingredients, making sure to keep the final dish (the answer!) delicious and perfectly balanced!

Algebraic manipulations can be useful in many real-life scenarios! From calculating areas and volumes to optimizing costs in a business, mastering simplifications can help you model situations accurately. For instance, if you’re packaging products, knowing how to combine volumes efficiently using simplifications can lead to better shipping decisions and cost savings. Now that’s a sweet return on your math skills!