difference of two squares

Noun

(algebra) The identity x²-y²=(x+y)(x-y), that holds for all real numbers.

Japanese Meaning

平方の差：任意の実数に対して成り立つ、x² - y² = (x + y)(x - y)の形の数学的恒等式を示す。

宿題で、生徒は二乗の差の恒等式 x^2 - y^2 = (x + y)(x - y) が2つの二項式の積に因数分解できることに気づいた。

Sense（1）

(algebra) The identity x²-y²=(x+y)(x-y), that holds for all real numbers.

The fraction (x-8)/(x²-64) can be simplified to 1/(x+8) using the difference of two squares.

differences of two squares

（ plural ）