Yellowstone national park is a popular field trip destination. this year the senior class at high school a and the senior class at high school b both planned trips there. the senior class at high schoola rented and filled 6 vans and 3 buses with 168 students. high school b rented and filled 6vans and 6 buses with 264 students. each van and bus carried the same number of students. how many students can a van carry? how many students a bus can carry?

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