Which of the following is the product of (a + b)(a – b)?

The correct answer is  option B. a² - b²

Step-by-step explanation:

To find (a + b)(a – b)

(a + b)(a – b) can be written as,

(a + b)(a – b) = a(a -b) + b(a - b)

(a + b)(a – b) = a*a - a*b + b*a -b*b

(a + b)(a – b) = a² - ab + ba - b²

(a + b)(a – b) = a² - ab + ab - b²

(a + b)(a – b) = a² - b²

Therefore the correct answer is  option B. a² - b²

-18

step-by-step explanation:

because mean value defines that total sum value over total number of set

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: