Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
x2 - 2x + 2y - xy = (x2 - 2x) - (xy - 2y) = x(x - 2) - y(x - 2) = (x - 2)(x - y)
x2 + 4xy - 16 + 4y2 = (x2 + 4xy + 4y2) - 16 = (x + 2y)2 - 16 = (x + 2y + 4)(x + 2y - 4)
1
a) x2 + 4y2 + 4xy - 16
=(x2 + 4xy + 4y2) - 16
=(x+2y)2 - 16
=(x+2y-4)(x+2y+4)
b)x2 + y2 - 2x + 4y + 5 =0
<=> x2 - 2x + 1 + y2 - 4y + 4=0
<=> (x-1)2 + (y-2)2 =0
<=> x=1 và y=2
\(a,x^2-2x+2y-xy\)
\(=\left(x^2-2x\right)+\left(2y-xy\right)\)
\(=x\left(x-2\right)+y\left(2-x\right)\)
\(=x\left(x-2\right)-y\left(x-2\right)\)
\(=\left(x-2\right)\left(x-y\right)\)
\(b,x^2+4xy-16+4y^2\)
\(=\left(x^2+4xy+4y^2\right)-16\)
\(=\left(x+2y\right)^2-4^2\)
\(=\left(x+2y+4\right)\left(x+2y-4\right)\)
a)x^2-4xy+4y^2-4
=(x2-4xy+4y2)-4
=(x-2y)2-4
=(x-2y+2)(x-2y-2)
b)16-x^2+2xy-y^2
=16-(x2-2xy+y2)
=16-(x-y)2
=[4-(x-y)][4+(x-y)]
=(4-x+y)(4+x-y)
a) \(x^2-25-4xy+4y^2\)
\(=\left(x^2-4xy+4y^2\right)-25\)
\(=\left(x-2y\right)^2-5^2\)
\(=\left(x-2y-5\right)\left(x-2y+5\right)\)
b) \(x^2-8x+15\)
\(=x^2-3x-5x+15\)
\(=x\left(x-3\right)-5\left(x-3\right)\)
\(=\left(x-3\right)\left(x-5\right)\)
a)\(x^2-25-4xy+4y^2\Leftrightarrow\left(x^2-4xy+4y^2\right)-25\)
\(\Leftrightarrow\left(x-2y\right)^2-5^2\)
\(\Leftrightarrow\left(x-2y-5\right)\left(x-2y+5\right)\)
b)\(x^2-8x+15\Leftrightarrow\left(x-3\right)\left(x-5\right)\)
a,x2-4xy+4y2
=(x-2y2
b,4x4+9y2-12x2y
=(2x2)2+(3y)2-12x2y
(2x2-3y)
\(x^2-25-4xy+4y^2\)
\(=\left(x^2-4xy+4y^2\right)-25\)
\(=\left[x^2-2\cdot x\cdot2y+\left(2y\right)^2\right]-25\)
\(=\left(x-2y\right)^2-5^2\)
\(=\left(x-2y-5\right)\cdot\left(x-2y+5\right)\)
\(\left(x+2y-4\right)\left(x+2y+4\right)\)