Giải câu 4 trang 46 toán VNEN 8 tập 1.
a) (x+y)2x2+xy + (x–y)2x2–xy + 7 = (x+y)2x(x+y) + (x–y)2x(x–y) + 7 = x+yx + x−yx + 7xx = x+y+x–y+7xx = 9xx = 9;
b) x2–4xxy–4x–3y+12 + x–2y–4 = 2yx(2x–y) + −4xx(2x–y) = 2y–4xx(2x–y);
c) y2xy–5x+y−5 + 2x+1 = y2(y–5)(x+1) + 2x+1 = y2(y–5)(x+1) + 2(y–5)(x+1)(y–5) = y2+2y–10(y–5)(x+1).