Mathematics
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OpenStudy (anonymous):
Check my answers?
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OpenStudy (baru):
u have made a mistake on Q7
OpenStudy (baru):
u have chosen the option for (2x+1)^2
but the question asks for 3(2x+1)^2
OpenStudy (anonymous):
i fixed it, i believe the right answer is 12x^2+12x+3
OpenStudy (baru):
yep :)
OpenStudy (baru):
Q5 also needs fixing
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OpenStudy (anonymous):
i wasn't sure about questions 1-5-6 did i solve them correctly?
OpenStudy (anonymous):
im guessing that question five is between B or C but im not sure which one
OpenStudy (baru):
whats the cube root of 4
whats the cube root of 8
OpenStudy (baru):
?
OpenStudy (anonymous):
the cube root of 4 is 1.58740105197 and of 8 is 2
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OpenStudy (baru):
ok. so which of them is a perfect cube?
a perfect cube is a number whose cube root does not have decimal points
OpenStudy (anonymous):
so its 8
OpenStudy (anonymous):
which means the final answer would be 8x^3+1
OpenStudy (baru):
yep
OpenStudy (baru):
have a closer look at Q1 option B,
can u spot your mistake?
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OpenStudy (anonymous):
is it just option B that is incorrect because i wasn't so sure about optin D either
OpenStudy (baru):
how do you decide if the options are square polynomials?
OpenStudy (baru):
whats the logic you used to choose option1?
OpenStudy (anonymous):
square polynomials are x^2−2x+1
OpenStudy (baru):
can you expand this
\[(a+b)^2=?\]
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OpenStudy (baru):
can you expand this
\[(a+b)^2=?\]
OpenStudy (anonymous):
a^2+2ab+b^2
OpenStudy (baru):
yep
so the question is asking whether or not you can write the given expression as (a+b)^2 OR (a-b)^2
OpenStudy (baru):
can you write x^2-2x+1 in the form (a-b)^2 ?
OpenStudy (anonymous):
yes
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OpenStudy (baru):
how about option B?
OpenStudy (anonymous):
i dont believe so
OpenStudy (baru):
why not?
OpenStudy (anonymous):
because what i didn't notice while choosing option b and d was they had a positive sign in the place where it should be negative
OpenStudy (baru):
no!
\[(a+b)^2=a^2+2ab+b^2\\(a-b)^2=a^2-2ab+b^2\]
both represent perfect square polynomials
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OpenStudy (baru):
if you can write it as (something)^2 it counts as a square polynomial. the -ve sign does not matter.
OpenStudy (baru):
followed?
OpenStudy (anonymous):
yes i understand now
OpenStudy (baru):
so can you write
\[9x^2+24x+64\]
in the form (a+b)^2
?
OpenStudy (anonymous):
no
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OpenStudy (baru):
why not?
OpenStudy (baru):
hint: the middle term(24x) should have been something else if it could have been written as (a+b)^2
OpenStudy (baru):
@kittymeow101
OpenStudy (anonymous):
because you can't put 9x^2+24x+64 in the form of (a+b)^2
OpenStudy (baru):
:) yep
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OpenStudy (baru):
how about
\[25x^2+80x+64\]
OpenStudy (anonymous):
yes you can
OpenStudy (baru):
ok,
try writing it as (a+b)^2
what do you get?
OpenStudy (anonymous):
(5x+8)^2
OpenStudy (baru):
thats right!! :)
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OpenStudy (baru):
is that all?
OpenStudy (anonymous):
yes ty for helping
OpenStudy (baru):
:)