Question

faça a multiplicação dos polinômios a seguir

a) (2x-4y) . (x+2y)

b) (2x2+x). (x-2) ​

Answer 1

$a)~~ (2x-4y)(x+2y)=2x^2+\diagup\!\1\1\1\!\1\1\1\1\1\!\1\1\1\!\1\1\1\14xy-\diagup\!\1\1\1\1\!\!\!\1\1\1\14xy-8y^2\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\mathbf{2x^2-8y^2}}\\\\b)~(2x^2+x)(x-2)=2x^3-4x^2+x^2-2x\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\mathbf{2x^3-3x^2-2x}}$