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Question
2
x
-
3
y
10
এ
x
4
y
6
এর সহগ কত হবে?
333
11660
2255
2449440
ANSWER : 4
Descrption
<p style="margin-left:0px;">বাইনোমিয়াল উপপাদ্যটি ব্যবহার করে, আমরা (2x - 3y)^10 প্রস্তুত করতে পারি:</p><p style="margin-left:0px;">(2x - 3y)<sup>10</sup> = ∑(k=0 to 10) [10 choose k] (2x)<sup>(10-k)</sup> (-3y)<sup>k</sup></p><p style="margin-left:0px;">আমরা x<sup>4</sup>y<sup>6</sup> এর সহগ নির্ণয় করতে চাই, যা k = 4 হলে সম্পাদন হবে:</p><p style="margin-left:0px;">x<sup>4</sup>y<sup>6</sup> এর সহগ = [10 choose 4] (2x)<sup>6</sup> (-3y)<sup>4</sup> = 210 * 2<sup>6</sup> × (-3)<sup>4</sup> × x<sup>6</sup> × y<sup>4</sup> = 2449440</p><p style="margin-left:0px;">সুতরাং, (2x - 3y)<sup>10</sup> এ x<sup>4</sup>y<sup>6</sup> এর সহগ 2449440.</p>
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