Question

Thực hiện phép tính

a, (2x+1)^2+(2x-1)^2-2(2x+1)(2x-1)

b,(2x^3-3x^2+6x-9)(2x-3)

Answer 1

a) (2x+1)^2-2(2x+1)(2x-1)+(2x-1)^2

=(2x+1-2x+1)^2

=2^2=4

b)\(\left(2x^3-3x^2+6x-9\right)\left(2x-3\right)\)

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

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

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

tự làm tiếp đi nha

Answer 2

tiếp câu b)

=x(2x-3)(x+1)

Answer 3

a, \(\left(2x+1\right)^2+\left(2x-1\right)^2-2\left(2x+1\right)\left(2x-1\right)\)

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

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

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