Question

What is the product (2x-1)(x+4)

Answer 1

2x(x+4)-1(x+4)
2x^2+8x-x-4
2x^2+7x-4

Answer 2

Answer:
`2x^2+7x-4`.

Explanation:

To find : The product of
`(2x-1)(x+4)`

Using distributive property :
`a(b+c)=ab+ac` , we have

`(2x-1)(x+4)\\\\= (2x-1)x+(2x-1)4`

Again , using distributive property :
`(b+c)a=ba+ca` , we have

`(2x-1)x+(2x-1)4=2x\cdot x+(-1)x+2x\cdot 4+(-1)4\\\\=2x^2-x+8x-4\\\\= 2x^2+7x-4`

Hence, The product of
`(2x-1)(x+4)` is
`2x^2+7x-4`.