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

Answer:

(C) $8x^{a+b} + 4x^{a+3} - 10x^{a+1}$

Step-by-step 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 :

$x^a\times x^b=x^{a+b}.$

From (i), we get

$P\\\\=-2x^a(-4x^b-2x^3+5x)\\\\=(-2x^a)\times(-4x^b)-2x^a\times(-2x^3)-2x^a\times5x\\\\=8x^{a+b}+4x^{a+3}-10x^{a+1}.$

Thus, the required product is $8x^{a+b}+4x^{a+3}-10x^{a+1}.$

Option (C) is CORRECT.