4x^2-4x+1
phan tich da thuc thanh nhan tu chung
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 )
16y^2-4x^2-12x-9
phan tich da thuc thanh nhan tu chung
\(16y^2-4x^2-12x-9=16y^2-\left(4x^2+12x+9\right)=\left(4y\right)^2-\left(2x+3\right)^2\)\(=\left[4y-\left(2x+3\right)\right]\left(4y+2x+3\right)=\left(4y-2x-3\right)\left(4y+2x+3\right)\)
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
phan tich da thuc thanh nhan tu : 4x^4+4x^3+5x^2 +2x +1
4x^4+4x^3+5^2+2x+1
phan tich da thuc thanh nhan tu
4x^4+4x^3+5^2+2x+1 = (4x^4+4x^3+x^2) + (4x^2+2x) + 1 = x^2(2x+1)^2 + 2x(2x+1) + 1 = [x(2x+1)]^2 +2x(2x+1) + 1 = (2x^2+x+1)^2
nếu là 5^2 thì như tui
còn 5x^2 thì như Kami
(x^2+x)^2+4x^2+4x-12 phan tich da thuc thanh nhan tu
Phan tich da thuc thanh nhan tu x^2(1-x^2)-4-4x^2
4x^2-36x+56 phan tich da thuc thanh nhan tu
4x2 - 36x + 56
= 4x2 - 28x - 8x + 56
= ( 4x2 - 28x ) - ( 8x - 56 )
= 4x( x - 7 ) - 8( x - 7 )
= ( x - 7 )( 4x - 8 )
= 4( x - 7 )( x - 2 )
Phan tich da thuc thanh nhan tu : x2 - 4x -y2+4
\(x^2-4x+4-y^2\)
\(=\left(x-2\right)^2-y^2\)
\(=\left(x-2-y\right)\left(x-2+y\right)\)
\(x^2-4x-y^2+4=\left(x-2\right)^2-y^2=\left(x-y-2\right)\left(x+y-2\right)\)