That answer would be 2000
(3m+5n)(9m²-15mn+25n²)
1) Let's factorize 27m³ +125n³.
27m³ +125n³ <em>Let's use x³ +y³ product to factorize that</em>
<em />
x³ +y³ = (x +y)(x²-xy +y²)
2) So let's rewrite it, since 3³ = 27 and 5³ = 125
27m³ +125n³ =
Plug x =3m and y = 5n into those factors (x +y)(x²-xy +y²)
27m³ +125n³= (3m + 5n)(3²m² -5n*3m +5²n²)
27m³ +125n³= (3m+5n)(9m² - 15mn +25n²)
3) So the answer is
(3m+5n)(9m²-15mn+25n²)
<em />
Rate in walk = 2 miles/hr
Distance by walk = x
Rate in jog = 4 miles/hr
Distance by jog = y
Total distance = 3.4
Total time = 1.2 hours
x + y = 3.4
x/2 + y/4 = 1.2
if we multiply by 4
2x + y = 4.8
Subtract both equations
x = 1.4 miles
y = 2 miles
walking time = 1.4/2
= 0.7 hour
walking distance = 1.4 miles
jogging time = 2/4
= 0.5 hour
jogging distance = 2 miles