Question

Viết các biểu thức sau thành đa thức:

a) \(\left( {3x - 5} \right)\left( {3x + 5} \right)\)                                b) \(\left( {x - 2y} \right)\left( {x + 2y} \right)\)                       c) \(\left( { - x - \dfrac{1}{2}y} \right)\left( { - x + \dfrac{1}{2}y} \right)\)

Answer 1

a) \(\left(3x-5\right)\left(3x+5\right)\)

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

\(=9x^2-25\)

b) \(\left(x-2y\right)\left(x+2y\right)\)

\(=x^2-\left(2y\right)^2\)

\(=x^2-4y^2\)

c) \(\left(-x-\dfrac{1}{2}y\right)\left(-x+\dfrac{1}{2}y\right)\)

\(=\left(-x\right)^2-\left(\dfrac{1}{2}y\right)^2\)

\(=x^2-\dfrac{1}{4}y^2\)

Answer 2

`a, (3x-5)(3x+5) = 9x^2 - 25`

`b, (x-2y)(x+2y) = x^2 -4y^2`

`c, (-x-1/2y)(-x+1/2y) = x^2 - 1/4y^2`