1. factor the expression 36a^4b^10-81a^16b^20 using the two different techniques listed for parts 1(a) and 1(b). (a) factor the given expression using the gcf monomial. (b) factor the given expression using the difference of squares

the expression given is :

→ factor of 36 = 2 ×2×3×3 ×a×a×a×a×b×b×b×b×b×b×b×b×b×b

→ factor of = 3 × 3×3×3 ×

common factor i.e g c f= 3 × 3 ×

                                            = 9

(b)

using [a² - b²= (a-b)(a+b)]

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.