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keneisha Group TitleBest ResponseYou've already chosen the best response.2
that one is cube
 one year ago

hartnn Group TitleBest 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

keneisha Group TitleBest ResponseYou've already chosen the best response.2
i don't understand
 one year ago

hartnn Group TitleBest 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

hartnn Group TitleBest 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

ParthKohli Group TitleBest 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

keneisha Group TitleBest ResponseYou've already chosen the best response.2
?????? i'm not sure
 one year ago

hartnn Group TitleBest 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

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

keneisha Group TitleBest ResponseYou've already chosen the best response.2
(x+h)^3+4(x+h)
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
\(\checkmark \)
 one year ago

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

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
That's it! Expand
 one year ago

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

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

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

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

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

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

hartnn Group TitleBest ResponseYou've already chosen the best response.0
where did h^3 go ?
 one year ago

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

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

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

hartnn Group TitleBest 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

keneisha Group TitleBest ResponseYou've already chosen the best response.2
i'm confused now
 one year ago

keneisha Group TitleBest ResponseYou've already chosen the best response.2
x^3+3x^h+3xh^2+h^3
 one year ago

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

hartnn Group TitleBest ResponseYou've already chosen the best response.0
x^3+3x^2h+3xh^2+h^3
 one year ago

hartnn Group TitleBest 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

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

hartnn Group TitleBest ResponseYou've already chosen the best response.0
welcome ^_^
 one year ago
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