Question

Câu 1:Phân tích

a)\(x^2-6x+8\)

b)\(4x^2-7x+3\)

c)\(\left(3x-1\right)^2-\left(2x-3\right)^2\)

d)\(5x-3x-2\)

Answer 1

\(x^2-6x+8=x^2-6x+9-1\\ =\left(x-3\right)^2-1\\ =\left(x-3+1\right)\left(x-3-1\right)=\left(x-2\right)\left(x-4\right)\)

Answer 2

b)

\(4x^2-7x+3=4x^2-4x-3x+3\\ =4x\left(x-1\right)-3\left(x-1\right)\\ =\left(x-1\right)\left(4x-3\right)\)

c)

\(\left(3x-1\right)^2-\left(2x-3\right)^2=\left(3x-1+2x-3\right)\left(3x-1-2x+3\right)\\ =\left(5x-4\right)\left(x+2\right)\)

Answer 3

d)

sửa đề: \(5x^2-3x-2\)

\(5x^2-5x+2x-2=5x\left(x-1\right)+2\left(x-1\right)\\ =\left(x-1\right)\left(5x+2\right)\)

Answer 4

b, \(4x^2-7x+3=4x^2-4x-3x+3\)

\(=4x\left(x-1\right)-3\left(x-1\right)\)

\(=\left(4x-3\right)\left(x-1\right)\)

c, \(\left(3x-1\right)^2-\left(2x-3\right)^2\)

\(=\left(3x-1-2x+3\right)\left(3x-1+2x-3\right)\)

\(=\left(x+2\right)\left(5x-4\right)\)

d, \(5x-3x-2=2x-2=2\left(x-1\right)\)