Factories 3t+15 factories 3a2+9a
factories a2b+ab2+ab
factories x2-25
factories 16-25×2

(a) 3t + 15

      3(t + 5)

(b) 3a² + 9a

       3a(a+3)

(c) a²b + ab² + ab

       ab(a +b + 1)

(d) x² - 25

       x(x-25)

(e)  I'm not sure about this one, sorry

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west