Question

Qual o resultado do polinômio?
2.(5x² + 7x) + 9.(2x² - 4)

Answer 1

Resposta:

Aplique a propriedade distributiva

2

(

5

2

+

7

)

+

9

(

2

2

−

4

)

{\color{#c92786}{2(5x^{2}+7x)}}+9(2x^{2}-4)

2(5x2+7x)+9(2x2−4)

1

0

2

+

1

4

+

9

(

2

2

−

4

)

{\color{#c92786}{10x^{2}+14x}}+9(2x^{2}-4)

10x2+14x+9(2x2−4)

2

Aplique a propriedade distributiva

1

0

2

+

1

4

+

9

(

2

2

−

4

)

10x^{2}+14x+{\color{#c92786}{9(2x^{2}-4)}}

10x2+14x+9(2x2−4)

1

0

2

+

1

4

+

1

8

2

−

3

6

10x^{2}+14x+{\color{#c92786}{18x^{2}-36}}

10x2+14x+18x2−36

3

Combine os termos semelhantes

1

0

2

+

1

4

+

1

8

2

−

3

6

{\color{#c92786}{10x^{2}}}+14x+{\color{#c92786}{18x^{2}}}-36

10x2+14x+18x2−36

2

8

2

+

1

4

−

3

6

{\color{#c92786}{28x^{2}}}+14x-36

28x2+14x−36

Solução

2

8

2

+

1

4

−

3

6