Answered

Tuklasin ang maliwanag na mga sagot sa iyong mga tanong sa IDNStudy.com. Sumali sa aming komunidad ng mga bihasa upang makahanap ng mga sagot na kailangan mo sa anumang paksa o problema.

What is the rules in special product and factoring? Specially on negative and positive signs

Sagot :

Shinalcantaraidn
There are three of those what we call special products when it comes to factoring of quadratic equations
1. difference of squares
   e.g. (a² - b²) = (a - b)(a + b)
2. square of sum
  e.g. a² + 2ab +b² = (a + b)²
3. square of difference
 e.g. a² - 2ab +b² = (a - b)²

NOTICE that in 1. the factors are positive and negative of a and b since in the expanded form, there's no second term. the negative and positive signs make it possible to have the middle term eliminated during expansion of term.
In 2. note that in dealing with square of sum, the middle term is positive such that when you divide it's coefficient regardless of 'a' by '2', you'll be able to have the third term by squaring it.
in 3. it's more like that of 2. only the middle term is in negative sign since the factors involves negative second terms.. notice that when the second term of the factor is squared, you will still get a positive third term
Salamat sa iyong pagsali sa aming komunidad. Magpatuloy sa pagtatanong at pagsagot sa mga katanungan. Sama-sama tayong magtatayo ng isang lugar na puno ng kaalaman at pagtutulungan. IDNStudy.com ang iyong mapagkakatiwalaang kasama para sa lahat ng iyong mga katanungan. Bisitahin kami palagi.