Question

Multiplicação de monômios por polinômios:

a) 3x.(-2x-7x+5)
b) 5xy.(7x-3xy+4y)
c) 2x.(3x-5xy+2y)
d) (2x+3).(3x-7)
e) (3x+4y).(4x-2y)
f) (5x-2).(2x-3x+4)
g) (4x+1).(3x+4x-7)

Answer 1

a) 3x.(-2x-7x+5) =

3x (-9x + 5) =

-27x^2 +15x

b) 5xy.(7x-3xy+4y) =

35x^2y - 15x^2y^2 + 20xy^2

c) 2x.(3x-5xy+2y) =

6x^2 - 10x^2y + 4xy

d) (2x+3).(3x-7) =

6x^2 - 14x + 9x - 21 =

6x^2 - 5x - 21

e) (3x+4y).(4x-2y) =

12xy - 6xy + 16xy - 8y^2 =

22xy - 8y^2

f) (5x-2).(2x-3x+4) =

(5x-2).(-x+4) =

-5x^2 - 20x + 2x - 8 =

-5x^2 - 18x - 8

g) (4x+1).(3x+4x-7) =

(4x + 1)(7x - 7) =

28x^2 - 28x + 7x - 7 =

28x^2 - 21x - 7