Asked by roger
simplify the compound fraction: ((x+h)^(-3)-x^(-3))/(h)
where do i start?
where do i start?
Answers
Answered by
Damon
[1/(x+h)^3 - 1/x^3 ]/h
Answered by
roger
yes
Answered by
Damon
so continue
[ x^3 -(x+h)^3 ] / [h x^3(x+h)^3]
[ x^3 -(x+h)^3 ] / [h x^3(x+h)^3]
Answered by
roger
idek the next step damon
Answered by
Damon
(x+h)^2 = x^2 + 2 h x + h^2
x(x^2 + 2 h x + h^2)=x^3 +2 hx^2+ xh^2
h(x^2 + 2 h x + h^2)=hx^2+2h^2x+h^3
sum=x^3 +3hx^2 +3h^2x+ h^3
etc
x(x^2 + 2 h x + h^2)=x^3 +2 hx^2+ xh^2
h(x^2 + 2 h x + h^2)=hx^2+2h^2x+h^3
sum=x^3 +3hx^2 +3h^2x+ h^3
etc
Answered by
roger
thats the answer damon sum=x^3 +3hx^2 +3h^2x+ h^3
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