Distribute and simplify the following:
(5m + 6)(m – 7)
(5m + 6)(m – 7) =

Step-by-step explanation:

=((5m+6)(m−7)(5m+6))(m)+((5m+6)(m−7)(5m+6))(−7)

=25m4−115m3−384m2−252m−175m3+805m2+2688m+1764

=25m4−290m3+421m2+2436m+1764

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:

rx and sx

step-by-step explanation: