Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(=y\left(z-3y\right)+5z\left(z-3y\right)=\left(z-3y\right)\left(y+5z\right)\)
b) \(=5y\left(z^2-2xz+x^2\right)=5y\left(z-x\right)^2\)
\(x^4+x^3y-4x-4y\) (sửa \(x^3\rightarrow x^4\))
\(=x^3\left(x+y\right)-4\left(x+y\right)\)
\(=\left(x+y\right)\left(x^3-4\right)\)
\(=\left(x+y\right)\left(x^2-xy+y^2\right)-4\left(x+y\right)=\)
\(=\left(x+y\right)\left(x^2-xy+y^2-4\right)\)
4x2+4y-4xy-3y2-1
=(4x2-4xy+y2)-(4y2-4y+1)
=(2x-y)2-(2y-1)2
=(2x-y+2y-1)(2x-y-2y+1)
=(2x+y-1)(2x-3y+1)
\(3z^2+6zy+3y^2-27x^2\)
\(=3\left(z^2+2zy+y^2-9x^2\right)\)
\(=3\left(\left(z+y\right)^2-\left(3x\right)^2\right)\)
\(=3\left(z+y-3x\right)\left(z+y+3x\right)\)
\(x^4y-3x^3y^2+3x^2y^3+xy^4=xy\left(x^3-3x^2y+3xy^2+y^3\right)\)
4y.(3y - 5z) - 3z(5z - 3y)
= 4y ( 3y - 5z ) - 3z .[ - ( 3y - 5z ) ]
= 4y ( 3y - 5z ) + 3z ( 3y - 5z )
= ( 3y - 5z ) ( 4y + 3z )
Study well
\(4y\left(3y-5z\right)-3z\left(5z-3y\right)=\left(...\right)\left(4y+3z\right)\)
\(\Rightarrow4y\left(3y-5z\right)+3z\left(3y-5z\right)=\left(...\right)\left(4y+3z\right)\)
\(\Rightarrow\left(4y+3z\right)\left(3y-5z\right)=\left(...\right)4y-3z\)
\(\Rightarrow\left(...\right)=3y-5z\)