Question

Multiplique os Polinômios:
1. (5y + 3x) . (x + 3y)
2. (3x + 1x) . (4x + 2y)
3. (2y² + 3x ) . (2x+ 3y)
4. (4x² + 2y²) . (2x² + 3y³)
5. (3y³ + 2y³) . ( 2x4 + 3y³)

Answer 1

Explicação passo-a-passo:

1)

(5y+3x).(x+3y) = 5y.x + 5y.3y + 3x.x + 3x.3y = 5xy + 15y^2 + 3x^2 + 9xy = 3x^2 + 15y^2 + 14xy

2)

(3x + 1x).(4x + 2y) = 4x.(4x + 2y) = 4x.4x + 4x.2y = 16x^2 + 8xy

3)

(2y^2 + 3x).(2x + 3y) = 2y^2.2x + 2y^2.3y = 4xy^2 + 6y^3

4)

(4x^2 + 2y^2).(2x^2 + 3y^3) = 4x^2.2x^2 + 4x^2.3y^3 + 2y^2.2x^2 + 2y^2.3y^3 = 8x^4 + 12x^2y^3 + 4x^2y^2 + 6y^5

5)

(3y^3 + 2y^3).(2x^4 + 3y^3) = 5y^3.(2x^4 + 3y^3) = 5y^3.2x^4 + 5y^3.3y^3 = 10x^4y^3 + 15y^6