Evaluate:  147²

Correct option is D

Given:

​Evaluate 147² 

Solution:

​We can break $147$ into $150-3$, and then apply the formula for squaring a binomial:

​$$(a - b)^2 = a^2 - 2ab + b^2$$ 

In this case, let a=150 and b=3, so: 

​$$147^2 = (150 - 3)^2$$ 

Using the binomial expansion formula: 

​$$(150 - 3)^2 = 150^2 - 2 \times 150 \times 3 + 3^2$$ 

Now, calculate each term:

​$$150^2 = 22500, \quad 2 \times 150 \times 3 = 900, \quad 3^2 = 9$$ 

Now, substitute these values back:

$$147^2 = 22500 - 900 + 9 = 21609$$ 

Thus $$147^2 = 21609$$.​