Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
1) \(a\left(a-b\right)\left(a+b\right)-\left(a+b\right)\left(a^2-ab+b^2\right)\)
\(=\left(a+b\right)\left(a^2-ab-a^2+ab-b^2\right)\)
\(=\left(a+b\right)\left(-b^2\right)\)
2) \(\left(a-b\right)^2-\left(b-a\right)\left(a+b\right)\)
\(=\left(a-b\right)^2+\left(a-b\right)\left(a+b\right)\)
\(=\left(a-b\right)\left(a-b+a+b\right)\)
\(=2a\left(a-b\right)\)
a,\(\frac{1}{5}x^2y\left(15xy^2-5y+3xy\right)=3x^3y^3-x^2y^2+\frac{3}{5}x^3y^2\)
b,\(5x^3-5x=5x\left(x^2-1\right)=5x\left(x-1\right)\left(x+1\right)\)
c, \(3x^2+5y-3xy-5x=3x\left(x-y\right)-5\left(x-y\right)\)
\(=\left(3x-5\right)\left(x-y\right)\)
1) 1/5x2y( 15xy2 - 5y + 3xy ) = 3x3y3 - x2y2 + 3/5x3y2
2) a) 5x3 - 5x = 5x( x2 - 1 ) = 5x( x2 - 12 ) = 5x( x - 1 )( x + 1 )
b) 3x2 + 5y - 3xy - 5x = ( 3x2 - 3xy ) + ( 5y - 5x )
= 3x( x - y ) + 5( y - x )
= 3x( x - y ) + 5[ -( x - y ) ]
= 3x( x - y ) - 5( x - y )
= ( 3x - 5 )( x - y )
a, \(16x^3+54y^3=2\left(8x^3+27y^3\right)=2\left(2x+3y\right)\left(4x^2-12xy+9y^2\right)\)
b, \(5x^2\left(x-1\right)+10xy\left(x-1\right)-5y^2\left(1-x\right)\)
\(=\left(5x^2+10xy+5y^2\right)\left(x-1\right)=5\left(x^2+2xy+y^2\right)\left(x-1\right)=5\left(x+1\right)^2\left(x-1\right)\)
bổ sung phần a hộ mình
\(=2\left(2x+3y\right)\left(4x^2-12xy+9y^2\right)=2\left(2x+3y\right)\left(2x-3y\right)^2\)
Câu 1 :
\(a,\left(x-1\right)-\left(x^2-x\right)\)
\(=x-1-x^2+x\)
\(=-x^2+2x-1\)
\(=-\left(x-1\right)^2\)
\(b,\left(x+1\right)+\left(x-1\right)\)
\(=x+1+x-1\)
\(=2x\)
Câu 2 :
\(a,6x^2+3x=3x\left(2x+1\right)\)
\(b,x.\left(x+y\right)-5x-5y\)
\(=x^2+xy-5x-5y\)
\(=\left(x^2-5x\right)+\left(xy-5y\right)\)
\(=x\left(x-5\right)+y\left(x-5\right)\)
\(=\left(x-5\right)\left(x+y\right)\)
\(c,4x^2-25=\left(2x-5\right)\left(2x+5\right)\)
\(d,6x^2-7x+1\)
\(=6x^2-6x-x+1\)
\(=6x\left(x-1\right)-\left(x-1\right)\)
\(=\left(x-1\right)\left(6x-1\right)\)
b) \(\left(x+y\right)^2-\left(x-y\right)^2\)
\(=\left(x+y+x-y\right)\left(x+y-x+y\right)\)
\(=2x\cdot2y\)
\(=4xy\)
c) \(\left(3x+1\right)^2-\left(x+1\right)^2\)
\(=\left(3x+1+x+1\right)\left(3x+1-x-1\right)\)
\(=\left(4x+2\right)\cdot2x\)
\(=4x\left(2x+1\right)\)
phần a mình nghĩ là đề sai, sửa thế này không biết có đúng không:
a) \(x\left(x+1\right)-5x-5\)
\(=x\left(x+1\right)-5\left(x+1\right)\)
\(=\left(x-5\right)\left(x+1\right)\)
1)
a) (x+y)3-(x+y)= (x+y)(x+y-1)
b) xem lại đề câu B nha bạn
2)
a3+3a2b+3ab2+b3+c3-3a2b-3ab2-3abc=0
(a+b)3+c3-3ab(a+b+c)=0
(a+b+c)(a2+2ab+b2-ac-bc+c2)-3ab(a+b+c)=0
(a+b+c)(a2+b2+c2-xy-yz-xz)=0
Suy ra: a3+b3+c3=3abc
1. a) = (x+y)3 -(x+y) =(x+y)((x+y)2 -1)
= (x+y)(x+y+1)(x+y-1)
b) = 5(( x-y)2 - 4z2)
= 5( x-y +2z)(x-y-2z)
2. áp dụng ( a+b+c)3 = .....rồi biến đổi
a)x2-xy+x-y
=x(x-y)+(x-y)
=(x+1)(x-y)
b)3x2-3xy-5x+5y
=3x(x-y)-5(x-y)
=(3x-5)(x-y)
a ) \(x^2-xy+x-y\).
\(=x\left(x-y\right)+\left(x-y\right)\)
\(=\left(x-y\right)\left(x+1\right).\)
b ) \(3x^2-3xy-5x+5y\)
\(=3x\left(x-y\right)-5\left(x-y\right)\)
\(=\left(x-y\right)\left(3x-5\right)\)
đăng kí kênh mik đã
Ender Dragon Boy Vcl
\(1.mx+my+5x+5y\)
\(=m\left(x+y\right)+5\left(x+y\right)\)
\(=\left(m+5\right)\left(x+y\right)\)
\(2.\left(a+b\right)\left(a-b\right)-\left(a+b\right)\left(a^2-ab+b^2\right)\)
\(=\left(a+b\right)\left(a-b-a^2+ab-b^2\right)\)