Is a triangle whose three sides are square of a = m - square of N, B = 2Mn, C = square of M + square of n (M greater than n greater than o) a right triangle

Is a triangle whose three sides are square of a = m - square of N, B = 2Mn, C = square of M + square of n (M greater than n greater than o) a right triangle

a = m² - n²
b = 2mn
c = m² + n²
a² + b²
= (m² - n²)² + (2mn)²
= m^4 - 2m²n² + n^4 + 4m²n²
= m^4 + 2m²n² + n^4
= (m² + n²)²
= c²
So this triangle is a right triangle
M ^ 4 means the fourth power of M, and so on