Bài 1: Phân tích đa thức thành nhân tử
a) x2yz - x3y3z + xyz2
b) 4x3 + 24x2 - 12xy2
c) x2(m + n) - 3y2(m + n)
d) 4x2(x - y) + 9y2(y - x)
e) x2(a - b) + 2(b - a)
f) 10x2(a - 2b)2 - (x2 + 2)(2b - a)2
g) 50x2 (x - y)2 - 8y2(y - x)2
h) 15am+2b - 45amb (m € N*)
a) x2yz - x3y3z + xyz2 = xyz.(x - x2y2 + z)
b) 4x3 + 24x2 - 12xy2 = 4x.(x2 + 6x - 3y2)
c) x2.(m+n) - 3y2.(m+n) = (m+n).(x2 - 3y2)
d) 4x2.(x-y) + 9y2.(y-x) = 4x2.(x-y) - 9y2.(x-y) = (x-y).(4x2 - 9y2)
e) x2.(a-b) + 2.(b-a) = x2.(a-b) - 2.(a-b) = (a-b).(x2 - 2)
f) 10x2.(a-2b)2 - (x2 + 2).(2b-a)2 = (a-2b)2.(10x2 - (x2 +2) ) = (a-2b)2.(9x2 - 2)
g) 50x2.(x-y)2 - 8y2.(y-x)2 = (x-y)2.2.(25x2 - 4y2)
h) 16am+2 - 45amb = 16am.a2 - 45amb = am.(16a2 - 45b)