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hartnnBest ResponseYou've already chosen the best response.0
to get f(x+h), just replace all 'x' in f(x) by 'x+h'
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
example if f(x) = x^2+10 x f(x+h) will be (x+h)^2 + 10(x+h) note that i have replaced ALL 'x' in f(x) by x+h
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
so, can you try replacing 'x' in f(x) by x+h for your question, x^3+4x ?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
\[f(\color{#C00}x) = \color{#C00}x^3 + 4\color{#c00}x \\ f(\color{#C00}h) = \color{#c00}h^3 + 4 \color{#C00}h \\ \vdots \]
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
wherever you 'see' x, just replace it by 'x+h' one more try , maybe ?
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
u want 1 more example ?
 one year ago

keneishaBest ResponseYou've already chosen the best response.2
is that right now?????
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
now, can you expand (x+h)^3 ?
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
use \((a+b)^3 = a^3+3a^2b+3ab^2+b^3\)
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Just replace \(a\) by \(x\) and \(b\) by \(h\).
 one year ago

keneishaBest ResponseYou've already chosen the best response.2
x^3+2hx^2+2hx+hx^2+2h^2x+2h^2
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Uh, that is expanded a little too much.
 one year ago

keneishaBest ResponseYou've already chosen the best response.2
x^3+3hx^2+2h^x+2h^2+2hx
 one year ago

keneishaBest ResponseYou've already chosen the best response.2
wheere will i get that h^3
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
you'll have only 4 terms from that formula, right ?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Four completely simplified terms.
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
\((a+b)^3 = a^3+3a^2b+3ab^2+b^3\) from the last term b^3 of above
 one year ago

keneishaBest ResponseYou've already chosen the best response.2
is that right now. . .
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
so, you have (x+h)^3+4(x+h) =x^3+3x^2h+3xh^2+h^3 +4x+4h i think no further simplification possible, thats your final answer...
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
(x+h) can be factored, but not required...
 one year ago
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