Rút gon các biểu thức:
a) P = (5x − 1) + 2(1 − 5x)(4 + 5x) + (5x+4)2
b) Q = (x-y)3 + (y+x)3 + (y-x)3 – 3xy(x + y)
a. P = (5x − 1) + 2(1 − 5x)(4 + 5x) + (5x + 4)2
= 5x – 1 + 8 + 10x – 40x – 50x2 + 25x2 + 40x + 16
= -25x2 + 15x + 23
b. Q = (x-y)3 + (y+x)3 + (y-x)3 – 3xy(x + y)
= x3 - 3x2y + 3y2x - y3 + x3 + 3x2y + 3y2x + y3 + y3 - 3x2y + 3y2x - x3- 3x2y - 3y2x
= x3 + y3
-- Mod Toán 8
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