Find the product of (x + 3)^2

(x+3)² = (x+3)(x+3)

When we distribute polynomials, we have to make sure each term mutliplies to all of the terms in the other polynomial.

x(x+3) + 3(x+3)

x² + 3x + 3x + 9

x² + 6x + 9

Methods such as FOIL (first, outside, inside, last) and creating a table can help you with this.

Step-by-step explanation:

x^(2)+6x+9 also x=-3

Step-by-step explanation:

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: