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: $2x^2+7x-4$.

Step-by-step 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 $2x^2+7x-4$.