viết các đa thức sau thành tích
$a)a^5-ax^4+a^4x-x^5$
$b)x^(m+4)+x^(m+3)-x-1 $
$c)2x^2(a+b+c)-4xy (a+b+c)+2y^2(a+b+c)$
$d)x^2 - 7xy +10y^2$
xl m.n nha! m viết nhầm b)x^(m 4) x^(m 3)-x-1 –  parkjiyeonkpf 24-06-14 06:10 PM
Bạn có thể sửa lại đề bài câu b cho dễ hiêu hơn k? Mình sẽ giúp bạn làm nó –  hoaphonglan101 23-06-14 03:58 PM
mình không hiểu đề bài câu b lắm :/ –  doanngocha18 23-06-14 03:07 PM
$a)a^{5} -ax^{4}+a^{4}x-x^{5}=(a^{5}+a^{4}x) - (ax^{4}+x^{5})= a^{4}(a+x) - x^{4}(a+x)=(a+x)(a^{4} - x^{4})=(a+x)(a^{2} - x^{2})(a^{2} + x^{2}) = (a+x)(a+x)(a-x)(a^{2} + x^{2})= (a+x)^{2}(a-x)(a^{2} + x^{2})$
$c)2x^2(a+b+c)-4xy (a+b+c)+2y^2(a+b+c)=(a+b+c)(2x^2-4xy +2y^2)=(a+b+c)2x(x^2-2xy +y^2)=2x(a+b+c) (x-y)^2$
$d)x^2 - 7xy +10y^2=(x^2 -2xy) - (5xy - 10y^2)= x (x-2y) - 5y(x-2y)=(x-2y)(x-5y)$

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