Question

Phân tích đa thức thành nhân tử

Answer 1

b: \(\left(2x+y+46\right)^2+\left(2x+y+1\right)^2-2025\)

\(=\left(2x+y+1\right)^2+90\left(2x+y+1\right)+2025+\left(2x+y+1\right)^2-2025\)

\(=2\left(2x+y+1\right)^2+90\left(2x+y+1\right)\)

\(=2\left(2x+y+1\right)\left(2x+y+1+45\right)\)

\(=2\left(2x+y+1\right)\left(2x+y+46\right)\)

c: \(\left(3x-1\right)^2-\left(3x-1\right)\left(2x-4\right)+\left(2-x\right)^2\)

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

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