Question

Find the product.

-2xa(-4xb - 2x 3 + 5x)
-8xa+b - 4xa+3 - 10xa+1
8xa+b + 4x3a - 10xa
8xa+b + 4xa+3 - 10xa+1

Answer 1

(C)
`8x^(a+b) + 4x^(a+3) - 10x^(a+1)`

Explanation:

`-2x^a(-4x^b -2x^3 +5x)=-2x^a(-4x^b)-2x^a(-2x^3)-2x^a(5x)=\\\\=8x^(a+b) + 4x^(a+3) - 10x^(a+1)`

Answer 2

Answer: The correct option is

(C)
`8x^(a+b)+4x^(a+3)-10x^(a+1).`

Step-by-step explanation: We are given to find the following product :

`P=-2x^a(-4x^b-2x^3+5x)~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following property of exponents :

`x^a* x^b=x^(a+b).`

From (i), we get

`P\\\\=-2x^a(-4x^b-2x^3+5x)\\\\=(-2x^a)*(-4x^b)-2x^a*(-2x^3)-2x^a*5x\\\\=8x^(a+b)+4x^(a+3)-10x^(a+1).`

Thus, the required product is
`8x^(a+b)+4x^(a+3)-10x^(a+1).`

Option (C) is CORRECT.