Question

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

Answer 1

`20x^2+16x+3`

Step-by-step explanation

`(10x+3)(2x+1)`

Step 1

apply distributive property

`\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}`

Step 2

add similar terms and order

`\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}`

so, the answer is

`20x^2+16x+3`

I hope this helps you