factorise 4y square -2y+1/4
only intelligent student do it fast
Answers
Answer:
Step-by-step explanation:
2
Answer: A reader recently suggested I write about modular arithmetic (aka “taking the remainder”). I hadn’t given it much thought, but realized the modulo is extremely powerful: it should be in our mental toolbox next to addition and multiplication.
Instead of hitting you in the face with formulas, let’s explore an idea we’ve been subtly exposed to for years. There’s a nice article on modular arithmetic that inspired this post.
Odd, Even And Threeven
Shortly after discovering whole numbers (1, 2, 3, 4, 5…) we realized they fall into two groups:
Even: divisible by 2 (0, 2, 4, 6..)
Odd: not divisible by 2 (1, 3, 5, 7…)
Why’s this distinction important? It’s the beginning of abstraction — we’re noticing the properties of a number (like being even or odd) and not just the number itself (“37”).
This is huge — it lets us explore math at a deeper level and find relationships between types of numbers, not specific ones. For example, we can make rules like this:
Even x Even = Even
Odd x Odd = Odd
Even x Odd = Even
These rules are general — they work at the property level. (Intuitively, I have a chemical analogy that “evenness” is a molecule some numbers have, and cannot be removed by multiplication.)
But even/odd is a very specific property: division by 2. What about the number 3? How about this:
“Threeven” means a number is divisbile by 3 (0, 3, 6, 9…)
“Throdd” means you are not divisible by 3 (1, 2, 4, 5, 7, 8…)
Weird, but workable. You’ll notice a few things: there’s two types of throdd. A number like “4” is 1 away from being threeven (remainder 1), while the number 5 is two away (remainder 2).
Being “threeven” is just another property of a number. Perhaps not as immediately useful as even/odd, but it’s there: we can make rules like “threeven x threeven = threeven” and so on.
But it’s getting crazy. We can’t make new words all the time.