Question 1190421
i believe you are looking for the number of miles that vehicle A traveled more than the number of miles that vehicle B traveled.


if thwt's what you wanted, then:


vehicle a traveled x miles per hour for x hours = x^2.
vehicle b traveled (x + a) miles per hour for (x + b) hours = (x + a) * (x + b).


since rate * time = distance, then simplify both equation to get:


vehicle A traveled x^2 miles.
vehicle B traveled x^2 + bx + ax + ab miles.


to see how much farther vehicle B traveled than vehicle A, subtract vehicle A miles from vehiclle A miles to get:


x^2 + bx + ax + ab minus x^2 = bx + ax + ab.


vehicle B traveled ax + bx + ab miles further than vehicle A.


that is not one of your selections, but selection C looks suspiciously like it could be the answer, if only one of the ax in that selection was a bx.


none of the other selections are even close.


i tested out my answer by letting x = 8 and a = 1 and b = 2

i got:


vehicle A traveled for 8^2 = 64 miles.
vehicle B traveled for (8 + 1) * (8 + 2) = 9 * 10 = 90 miles.
the difference in miles was 26 miles.
ax + bx + ab = 1*8 + 2*8 + 2 = 8 + 16 + 2 = 26 miles.


the formula works with ax + bx + ab difference in miles.
that's why i think selection C is mistyped and should be ax + bx + ab rather than ax + ax + ab.


that's my opinion, of course.
check your problem out again and see if that might be right.
let me know if that's it, or thaere's some other answer being looked for.