Which polynomial, when added to the polynomial 5x^2-3x-9 is equivalent to: 18

- 5x² + 3x + 27

Step-by-step explanation:

To find the polynomial subtract 5x² - 3x - 9 from 18, that is

18 - (5x² - 3x - 9) ← distribute parenthesis by - 1

= 18 - 5x² + 3x + 9

= - 5x² + 3x + 27 ← required polynomial

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:

answer: 10 meter

step-by-step explanation:

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