calculus
posted by steve Alexander .
s=4.9t²+245t+14.7
s=4.9(t²245/4.9t)+14.7
s=4.9(t²50t)+14.7
s=4.9(t²50+625625)+14.7
s=4.9(t²50+625)+(4.9)(625)+14.7
s=4.9(t25)²+30625.5+14.17
s=4.9(t25)²+3077.2
as you can see on the process of the problem on the part that says...s=4.9(t²50+625625)+14.7...the +625625 on the next step are on different positions like...4.9(t²50+625)...and(4.9)(625)...i want to know why and why the negative 625 its multiplying by the negative 4.9 please if somebody can explain me all this problem

the line
.....s=4.9(t²50+625625)+14.7 ......
has a typo, should have been
s=4.9(t²50t+625625)+14.7 , look at the bold part in the next line
s=4.9(t²50t+625625)+14.7
s=4.9[(t25)²625)]+14.7 , now the 4.9 has to be multiplied by both terms inside the square bracket
s = 4.9(t25)²  4.9(625) + 14.7
s = 4.9(t25)² + 3077.2