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 \(2x^2+7x-4\).
