cau 1 :phan tich da thuc thanh nhan tu a)5x3y-10x2y2+5xy3 b)x3 2y-1-125 2y-1 c)x2-6x-4y2+9 d)x2-xy+2y-2x e)4x2-4y2+4x+1 minh can gap
bai1:phan tich da thuc thanh nhan tu a)5x3y-10x2y2+5xy3 b)x32y-1-125 2y-1 c)x2-6x-4y2+9 d)x2-xy+2y-2x
(a+1).(a+b).(a+b).(a+7)-15 phan tich da thuc thanh nhan tu
phan tich da thuc thanh nhan tu abc+ab+ac+bc+a+b+c+1
phan tich da thuc sau thanh nhan tu (bang cach dat nhan tu chung)
(4x-y)(a+b)(4x-y)(c-1)
\((4x-y)(a+b)(4x-y)(c-1)\)
\(=\left(4x-y\right)\left(4x-y\right)=\left(4x-y\right)^{1+1}=\left(4y-2\right)^2\)
\(=\left(a+b\right)\left(4x-y\right)^2\left(c-1\right)\)
(4x-y)(a+b)(4x-y)(c-1)
= ( 4x - y ) ( 4x - y ) = ( 4x - y ) 1 + 1 = ( 4y - 2 ) 2
= (a + b ) ( 4x - y )2 ( c - 1 )
Bài giải :
(4x-y)(a+b)(4x-y)(c-1)
= ( 4x - y ) ( 4x - y ) = ( 4x - y ) 1 + 1
= ( 4y - 2 ) 2
= (a + b ) ( 4x - y )2 ( c - 1 )
phan tich da thuc thanh nhan tu: 4x^4-32x^2+1
4x^4 - 32x^2 +1 = 4x^4 + 4x^2 +1 - 36x^2 = (2x^2 + 1)^2 - 36x^2 = (2x^2 - 6x + 1)(2x^2 + 6x + 1)
4 x4 - 32 x2 + 1
= ( 2 x2 )2 - 2 . 2x2. 8 + 64 - 63
= ( 2 x2 - 8 )2 - 63
= ( 2x2 - 8 + √63 ) ( 2x2 - 8 - √63 )
Xong
3a + 3b - a^2-ab phan tich da thuc thanh nhan tu
\(=\left(3a-a^2\right)-\left(3b-ab\right)=\left(a-b\right)\left(3-a\right)\)
3a+3b-a2-ab
= 3a - a2 + 3b - ab
= a( 3-a ) +b( 3- a)
= ( a+b)(3 - a )
3a + 3b - a2 - ab
= 3a - a2 + 3b - ab
= a( 3 - a ) + b( 3 - a )
= ( a + b )( 3 - a )
Phan tich da da thuc thanh nhan phan tu
(x^2+x+1)(x^2+x+2)-12
\(=\left(x^2+x\right)^2+3\left(x^2+x\right)+2-12\)
\(=\left(x^2+x\right)^2+3\left(x^2+x\right)-10\)
\(=\left(x^2+x+5\right)\left(x^2+x-2\right)\)
\(=\left(x^2+x+5\right)\left(x+2\right)\left(x-1\right)\)
phan tich cat da thuc sau thanh nhan tu
a) x^4 + 1 - 2x^2
\(x^4+2x^2+1=\left(x^2+1\right)^2\) (Nhớ k cho mình với nhé!)
phan tich da thuc thanh nhan tu
x^2-x-y^2-y
x^2-2xy+y^2-z^2
bai 32 va 33 sbt
lop 8 bai phan tich da thuc thanh nhan tu bang cach nhom hang tu
Ta có
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)
con bai 32, 33 neu ban tra loi duoc minh h them