Subtract the sum of 12ab-10b²-18a² and 9ab+12b²+14a² from ab+2b² and 3b²-a²​

3a² + 3b² - 20ab

Step-by-step explanation:

Sum of 12ab-10b²-18a² and 9ab+12b²+14a²

12ab - 10b² - 18a² + 9ab + 12b² + 14a²

= 14a² - 18a² + 12b² - 10b² + 12ab + 9ab

= -4a² + 2b² + 21ab

Sum of ab + 2b² and 3b²- a²

= ab + 2b² + 3b²- a²

= -a² + 2b² + 3b² + ab

= -a² + 5b² + ab

Subtract

-a² + 5b² + ab - (-4a² + 2b² + 21ab

)

= -a² + 5b² + ab + 4a² - 2b² - 21ab

= 3a² + 3b² - 20ab

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c