Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(x^2+6x+8\)
\(=\left(x^2-2x\right)-4x+8\)
\(=x\left(x-2\right)-4\left(x-2\right)\)
\(\left(x-2\right)\left(x-4\right)\)
b) \(x^2-7xy+10y^2\)
\(=x^2-2xy-5xy+10y^2\)
\(=x\left(x-2y\right)-5y\left(x-2y\right)\)
\(=\left(x-2y\right)\left(x-5y\right)\)
a) x2 - 6x + 8
= x2 -2x - 4x +8
= x( x-2) -4( x-2)
= ( x-2)(x-4)
a, x2-5xy+2x-10y = (x2 + 2x)-(5xy+10y)
= x(x+2)-5y(x+2)
= (x+2)(x-5y)
b, x2-5x+4 = x2- x - 4x +4
= (x2-x)-(4x-4)
=x(x-1)-4(x-4)
=(x-1)(x-4)
\(a,x^2-5xy+2x-10y\)
\(=\left(x^2-5xy\right)+\left(2x-10y\right)\)
\(=x\left(x-5y\right)+2\left(x-5y\right)\)
\(=\left(x-5y\right)\left(x+2\right)\)
\(b,x^2-5x+4\)
\(=x^2-4x-x+4\)
\(=x\left(x-4\right)-\left(x-4\right)\)
\(=\left(x-1\right)\left(x-4\right)\)
a,81-(x^2-4xy+4y^2)=81-(x-2y)^2=(9-(x-2y))(9+(x-2y))=(9-x+2y)(9+x-2y)
b,x^3+y^3+z^3-3xyz=(x^3+3(x^2)y+3x(y^2)+y^3)+z^3-3xyz-3xy(x+y)
=((x+y)^3+3((x+y)^2)z+3(x+y)z^2+z^3)-(3xyz-3xy(x+y))-3(x+y)z(x+y+z)
=(x+y+z)^3-3(x+y)z(x+y+z)-3xy(x+y+z)=(x+y+z)((x+y+z)^2-3(x+y)z-3xy)
=(x+y+z)(x^2+y^2+z^2+2xy+2yz+2xz-3xy-3yz-3xz)=(x+y+z)(x^2+y^2+z^2-xy-yz-xz)
\(x^3+y^3+z^3-3xyz\)
\(=\left(x+y\right)^3-3xy\left(x+y\right)+z^3-3xyz\)
\(=\left(x+y+z\right)\left[\left(x+y\right)^2-\left(x+y\right)z+z^2\right]-3xy\left(x+y+z\right)\)
\(=\left(x+y+z\right)\left(x^2+y^2+z^2-xy-yz-zx\right)\)
\(25x^2-10x+1-y^2\)
\(=\left(5x-1\right)^2-y^2\)
\(=\left(5x-y-1\right)\left(5x+y-1\right)\)
\(4y^2-4x^2-4y+1\)
\(=\left(2y-1\right)^2-\left(2x\right)^2\)
\(=\left(2y+2x-1\right)\left(2y-2x-1\right)\)
\(-y^2+6y-9+x^2\)
\(=x^2-\left(y-3\right)^2\)
\(=\left(x+y-3\right)\left(x-y+3\right)\)
a) \(\left(x^2-2x+1\right)-\left(y^2+2y+1\right)\)
\(=\left(x-1\right)^2-\left(y+1\right)^2\)
\(=\left(x-y-2\right)\left(x+y\right)\)
a) = 2(x-y)2 - 32 = 2((x-y)2 - 42) = 2(x-y+4)(x-y-4)
b) = 5(x+y)(x-y) -(x-y)= (x-y)( 5(x+y)-1)