Question

How do you simplify the product `(2x + 1)(4x + 3)` and write it in standard form?

Answer 1

`(2x+1)(4x+3)=8x^2+10x+3`

Explanation:

We will use the distributive property `a(b+c) = ab + ac` and the commutative property `ab = ba`

`(2x+1)(4x+3) = (2x+1)*4x+(2x+1)*3`

`=4x(2x+1)+3(2x+1)`

`=4x*2x+4x*1+3*2x+3*1`

`=8x^2+4x+6x+3`

`=8x^2+10x+3`