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anonymous
 one year ago
Add and simplify and please write out all of your steps.
5x12/ x^216 + 8/x^216
anonymous
 one year ago
Add and simplify and please write out all of your steps. 5x12/ x^216 + 8/x^216

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf \cfrac{5x12}{x^216}+\cfrac{8}{x^216}?\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Could you explain how to solve it to me? I'm very confused

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok... do you know the differences of squares yet? as in \(\bf \textit{difference of squares} \\ \quad \\ (ab)(a+b) = a^2b^2\qquad \qquad a^2b^2 = (ab)(a+b)\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok... well then \(\bf \cfrac{5x12}{x^216}+\cfrac{8}{x^216} \\ \quad \\ {\color{brown}{ \cfrac{a}{b}+\cfrac{c}{b}\implies \cfrac{a+c}{b} }}\qquad thus \\ \quad \\ \cfrac{5x12}{x^216}+\cfrac{8}{x^216}\implies \cfrac{(5x12)+(8)}{x^216}\qquad {\color{brown}{ 16=4^2}}\qquad thus \\ \quad \\ \cfrac{5x128}{x^2{\color{brown}{ 4^2}}}\implies \cfrac{5x20}{(x4)(x+4)}\implies ?\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0notice the numerator you can take a common factor what do you think it is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0anyhow.. need to dash... as you can see, is 5, yes, for the common factor of the numerator thus \(\bf \cfrac{5x128}{x^2{\color{brown}{ 4^2}}}\implies \cfrac{5x20}{(x4)(x+4)}\implies \cfrac{5\cancel{(x4)}}{\cancel{(x4)}(x+4)}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So 5/x+4 is the answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Also could you help me with another problem?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Subtract and simplify 4y/y^26y+8  16/y^26y+8
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