vanshikavats
vanshikavats vanshikavats
  • 21-06-2020
  • Mathematics
contestada

If you expand and simplify (2x+3)(x+4)

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CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 21-06-2020

Answer:

The answer is 2x² + 11x + 12.

Step-by-step explanation:

You have apply Distributive Law,

[tex]a(m + n) = am + an[/tex]

So for this question :

[tex](2x + 3)(x + 4)[/tex]

[tex] = 2x(x) + 2x(4) + 3(x) + 3(4)[/tex]

[tex] = 2 {x}^{2} + 8x + 3x + 12[/tex]

[tex] = 2 {x}^{2} + 11x + 12[/tex]

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TheAnimeGirl
TheAnimeGirl TheAnimeGirl
  • 21-06-2020

[tex](2x + 3)(x + 4) \\ = 2x(x + 4) + 3(x + 4) \\ = 2x \times x + 2x \times 4 + 3 \times x + 3 \times 4 \\ = {2x}^{2} + 8x + 3x + 12 \\ = {2x}^{2} + 11x + 12 \\ hope \: it \: helps[/tex]

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