DisaF216611 DisaF216611
  • 25-10-2022
  • Mathematics
contestada

Multiply and write in standard form: 10x + 3)(2x - 1) Show all work

Respuesta :

HaliH291415 HaliH291415
  • 25-10-2022
[tex]20x^2+16x+3[/tex]

Explanation

[tex](10x+3)(2x+1)[/tex]

Step 1

apply distributive property

[tex]\begin{gathered} (10x+3)(2x+1)=(10x\cdot2x)+(10x\cdot1)+(3\cdot2x)+(3\cdot1) \\ (10x+3)(2x+1)=20x^2+10x+6x+3 \end{gathered}[/tex]

Step 2

add similar terms and order

[tex]\begin{gathered} (10x+3)(2x+1)=20x^2+10x+6x+3 \\ (10x+3)(2x+1)=20x^2+16x+3 \\ \text{the standard form is} \\ ax^2+bx+c,so \\ ax^2+bx+c\Rightarrow20x^2+16x+3 \end{gathered}[/tex]

so, the answer is

[tex]20x^2+16x+3[/tex]

I hope this helps you

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