AM-98

Binomial expansion

A Math · Secondary 3 · Hard · Binomial expansion

Given that there is no

x^2

term in the expansion of

(5+4x)(2-3x)^4

, find the value of the constant multiplying

x

in the first bracket (i.e. replace 4 by

k

and solve for

k

).

$\dfrac{45}{4}$
$\dfrac{27}{4}$
$\dfrac{15}{2}$
$\dfrac{9}{2}$

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