Factor out the expression below using the distributive property

Step-by-step explanation:

90 + 60

90 = 2 · 3 · 3 · 5

60 = 2 · 2 · 3 · 5

GCF(90, 60) = 2 · 3 · 5 = 30

90 = 30 · 3

60 = 30 · 2

The distributive property a(b + c) = ab + ac

90 + 60 = 30 · 3 + 30 · 2 = 30 · (3 + 2)

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.