Write an expression that has a value of 100 and follows these restrictions. (1) uses each of the four operations at most once. (2) uses no parentheses. (3) uses only the digit 3.

1) uses each of the four operation at most once:

("at most" basically means either we have to use any 1 operation at a time or no operation must be used)

if 100 is to be written without any operation then 100=100.

if only addition is used then 100=51+49

if only subtraction is used then 100=121-21

if only multiplication is used then 100=50×2

if only division is used then

2) if we don't have to use any parentheses

then 100=55+45 or 100 could be expressed other ways as well.

3) uses only digit 3:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct