Subtract (3x3 - 2x2 - 6x) - (4x3 - 5x2 + 3x). A) -x6 - 7x4 - 3x2 B) -x3 - 7x2 - 3x C) -x3 - 3x2 - 9x D) -x3 + 3x2 - 9x

For this case we must simplify the following expression:

By definition of the law of signs of multiplication we have:

Then, rewriting the expression:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

Option D

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

stops on an even number.