Question

Using binomial theorem' find the value of (102)4

Answer 1

Answer:

, , , , , , ,

Step-by-step explanation:

, , , , , , , , , , , , , ,, ,

Answer 2

The value of $(102)^4=108243216$

Explanation:

According to Binomial theorem :

$(a+b)^n=^nC_0 a^nb^0+^nC_1 a^{n-1}b^1+....+^nC_n b^n$

So the given problem will become : $(102)^4=(100+2)^4$

$^4C_0 (100)^4+^4C_1 (100)^{3}(2)^1+^4C_{2} (100)^2{2}^2+^4C_{3} (100){2}^2+^4C_{4} {2}^4\\\\= (100)^4+(4)(100)^3(2)+\dfrac{4!}{2!(4-2)!}(100)^22^2+(4)(100)2^3+2^4\\\\=100000000+8000000+240000+3200+16\\\\=108243216$

Therefore ,the value of $(102)^4=108243216$

#Learn more :

Question 7 Using Binomial Theorem, evaluate (102)^5

Class X1 - Maths -Binomial Theorem Page 167

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