5x^2+3(x+y)^2-5y^2 phan tich thanh nhan tu
Phan tich thanh nhan tu:
a) x3 -x + 3x2y +3xy2 +y3 -y
b) 5x2 -10xy +5y2 -20z2
HELP ME!
a, \(x^3-x+3x^2y+3xy^2+y^3-y\)
= \((x^3+3x^2y+3xy^2+y^3)-x-y\)
= \(\left(x+y\right)^3-\left(x+y\right)\)
= \(\left(x+y\right)\left[\left(x+y\right)^2-1\right]\)
= \(\left(x+y\right)\left(x+y-1\right)\left(x+y+1\right)\)
Phan tich thanh nhan tu gium minh voi.5x^2+5y^2-2x+2y+2
Phan tich da thuc thanh nhan tu :
a) x^2 - x - y^2 - y
b) x^2 - 2 xy + y^2 - z^2
c) 5x - 5y + ax - ay
d) a^3 - a^2 x - ay + xy
e) 4x^2 - y^2 +4x + 1
a) x2-x-y2-y=(x2-y2)-(x+y)=(x+y)(x-y)-(x+y)=(x+y)(x-y-1)
b)x2-2xy+y2-z2=(x-y)2-z2=(x-y-z)(x-y+z)
c)5x-5y+ax-ay=5(x-y)+a(x-y)=(x-y)(5+a)
d)a3-a2x-ay+xy=a2(a-x)-y(a-x)=(a-x)(a2-y)
e)4x2-y2+4x+1=[(2x)2+2.2x.1+12]-y2=(2x+1)2-y2=(2x+1-y)(2x+1+y)
Chúc bạn học tốt!
Phan tich da thuc thanh nhan tu:
x^3 - x + 3x^2y + 3xy^2 + y^3 - y
x^2 + 5x - 6
x^3 - x + 3x^2y + 3xy^2 + y^3 - y
=x3+y3+3x2y+3xy2-x-y
=(x+y)(x2-xy+y2)+3xy(x+y)-(x+y)
=(x+y)(x2-xy+y2+3xy-1)
=(x+y)(x2+2xy+y2-1)
=(x+y)[(x+y)2-1]
=(x+y)(x+y-1)(x+y+1)
x^2 + 5x - 6
=x2-x+6x-6
=x.(x-1)+6.(x-1)
=(x-1)(x+6)
a, x^3-x^2-4x^2+8x-4
b, 4x^2-25-(2x-5)2x+7
c, x^3+27+(x+3)(x-9)
d, 2x^2-2y^2+5x-5y
e, x^2-y^2-2y-1
phan tich da thuc thanh nhan tu
phan tich da thuc thanh nhan tu x^3-5x^2+2x+8
1)2x^2-4xy+2y^2-32
2)5x^2-5y^2-x+y
3)x^2-9xy+20y^2
4)4x^2(x+y)-x-y
5)16+ty^2+6xt-9t+x^2
Giai bang phuong phap phan tich thanh nhan tu chung bang cach nhom hang tu.
Mai mình nộp bài,mong giaup đó
1. =2(x2-2xy+y2-16)
=2((x-y)2-42)
=2(x-y-4)(x-y+4)
2. =5(x2-2.1/10.x+1/100-y2+2.1/10y-1/100)
=5.((X-1/10)2-(Y-1/10)2)
=5(X-1/10-Y+1/10)(X-1/10+Y-1/10)
=5(X-Y)(X+Y-2/10)
3. =(X2-9XY+81/4Y2)-1/4Y2
=(X-9/2Y)^2-1/4Y^2
=(X-9/2Y-1/2Y)(X-9/2Y+1/2Y)
(X-5Y)(X-4Y)
5x + \(7\sqrt{xy}-6y+\sqrt{x}+2\sqrt{y}
phan tich thanh nhan tu
phan tich da thuc thanh nhan tu :
5x^2 + 5xy - x - y
7x - 6x^2 - 2
5x^2 + 5xy - x - y
=5x.(x+y)-(x+y)
=(x+y)(5x-1)
7x - 6x^2 - 2
=-6x2+3x+4x-2
=-3x.(2x-1)+2.(2x-1)
=(2x-1)(2-3x)