Factorization AB & # 179; - 10A & # 178; B & # 178; + 25A & # 179; b

Factorization AB & # 179; - 10A & # 178; B & # 178; + 25A & # 179; b


ab³-10a²b²+25a³b
= ab(b²-10ab+25a²)
=ab(b-5a)²



Factorization 25A & # 178; B & # 178; - 10ab + 1
25A & # 178; B & # 178; - 10ab + 1, factorization
And 36a & # 178; - (a + 9) &# 178;. 16-8 (x + y) + (X-Y) & factorization


﹙1﹚25a²b²-10ab+1=﹙5ab-1﹚²
﹙2﹚ 36a²-(a+9)²=﹙6a-a-9﹚﹙6a+a+9﹚=﹙5a-9﹚﹙7a+9﹚
﹙3﹚16-8(x+y)+(x-y)²=﹙4-x+y﹚².



Factorization; a ^ 4x ^ n + 2-4x ^ n (n is a positive integer) = how many factorization; 25A ^ n + 2-10a ^ n + 1 + A ^ n = how many factorization?


a^4x^n+2-4x^2=(a^4*x^2-4)*x^n=(a^2*x+2)(a^2*x-2)*x^n
25a^n+2-10a^n+1+a^n=(25a^2-10a+1)*a^n=(5a-1)^2*a^n



1. (- x + 1 / 2) (- X-1 / 2) = 2. Factorization: - 5A ^ 2 + 25A = 3. Simplified evaluation: [(A-1 / 2) ^ 2 - (a + 1 / 2) ^ 2] (a + 3), where a = - 2


1.x^2-1/4=2,x^2=2.25,x=+-1.5
2.-5a(a-5)
3. The original formula = [a ^ 2-A + 1 / 4 - (a ^ 2 + A + 1 / 4)] (a + 3) = - 2A (a + 3) = 4 * 1 = 4