a)X mũ 2 – 2x+xy b)ax-y+ay-x c)2x mũ 2-4x+2+2xy-2y d)x mũ 2-16+2xy+y mũ 2 e)25-x mũ 2-2xy-y mũ 2 27/07/2021 Bởi Aubrey a)X mũ 2 – 2x+xy b)ax-y+ay-x c)2x mũ 2-4x+2+2xy-2y d)x mũ 2-16+2xy+y mũ 2 e)25-x mũ 2-2xy-y mũ 2
a) $x^2-2x+xy$ $=x(x-2+y)$ b) $ax-y+ay-x$ $=(ax+ay)-(x+y)$ $=a(x+y)-(x+y)$ $=(x+y)(a-1)$ c) $2x^2-4x+2+2xy-2y$ $=2(x^2-2x+1)+2y(x-1)$ $=2(x-1)^2+2y(x-1)$ $=(x-1)[2(x-1)+2y]$ $=(x-1)(2x-2+2y)$ d) $x^2-16+2xy+y^2$ $=(x^2+2xy+y^2)-4^2$ $=(x+y)^2-4^2$ $=(x+y-4)(x+y+4)$ e) $25-x^2-2xy-y^2$ $=5^2-(x^2+2xy+y^2)$ $=5^2-(x+y)^2$ $=(5-x-y)(5+x+y)$ Bình luận
a) $x^2-2x+xy$
$=x(x-2+y)$
b) $ax-y+ay-x$
$=(ax+ay)-(x+y)$
$=a(x+y)-(x+y)$
$=(x+y)(a-1)$
c) $2x^2-4x+2+2xy-2y$
$=2(x^2-2x+1)+2y(x-1)$
$=2(x-1)^2+2y(x-1)$
$=(x-1)[2(x-1)+2y]$
$=(x-1)(2x-2+2y)$
d) $x^2-16+2xy+y^2$
$=(x^2+2xy+y^2)-4^2$
$=(x+y)^2-4^2$
$=(x+y-4)(x+y+4)$
e) $25-x^2-2xy-y^2$
$=5^2-(x^2+2xy+y^2)$
$=5^2-(x+y)^2$
$=(5-x-y)(5+x+y)$