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23 Apr 2020, 04:22
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Difficulty:
55%
(hard)
Question Stats:
68% (02:32) correct
32%
(02:35)
wrong
based on 253
sessions
History
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\(a = b + c = d + e + f\)
What is the expression of \(a(ad + be + df) + be(c + f) + (d + e)f^2 + ce(c + f) + f^3\)?
A. \(a\)
B. \(a^2\)
C. \(a^3\)
D. \(a^4\)
E. \(a^5\)
What is the expression of \(a(ad + be + df) + be(c + f) + (d + e)f^2 + ce(c + f) + f^3\)?
A. \(a\)
B. \(a^2\)
C. \(a^3\)
D. \(a^4\)
E. \(a^5\)
23 Apr 2020, 05:44
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\(a(ad + be + df) + be(c + f) + (d + e)f^2 + ce(c + f) + f^3\)
= \(a(ad+be+df) + be(c+f) + ce(c+f) + (d+e) f^2 + f*f^2\)
= \(a(ad+be+df) + e(c+f)(b+c) + (d+e+f) f^2\)
= \(a( ad+be +df + ec+ef +f^2)\)
= \(a[ ad + e (b+ c) + f(d+e+f)]\)
= \(a[ad+ae+af]\)
=\(a^2(d+e+f)\)
= \(a^3\)
= \(a(ad+be+df) + be(c+f) + ce(c+f) + (d+e) f^2 + f*f^2\)
= \(a(ad+be+df) + e(c+f)(b+c) + (d+e+f) f^2\)
= \(a( ad+be +df + ec+ef +f^2)\)
= \(a[ ad + e (b+ c) + f(d+e+f)]\)
= \(a[ad+ae+af]\)
=\(a^2(d+e+f)\)
= \(a^3\)
MathRevolution
