Factorization (因数分解) 😸 - 令和義塾🛡中高生・高卒生・教員・留学志望者のための学習塾

Question: Let's factorize the following expressions.

① nx+ny

② x^2+8x+16

③ x^2+9x+20

④ x^2-16

How to solve: Expressing a polynomial in the form of a produt os some factors is called "factorize". In ①, because there is common factor n in each term, pull it out of the parenthesis. In ②, utilize the formula a squared plus 2ab plus b squared equals the quantity a plus b, close quantity squared. In ③, use the formula x squared plus the quantity a plus b, close quantity, times x plus ab equals the quantity x plus a, close quantity, times the quantity x plus b, close quantity. In ④, a squared minus b squared equals the quantity a plus b, close quantity, times the quantity a minus b, close quantity.