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Find the square of the polynomial $5 a 2 + 6 b 2$

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a⁴+ 25a²b²+6b²

25a⁴+60a²b²+36b⁴

5a⁴+60a²b²+6b⁴

25a²+60ab+6b²

answer is B.

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Detailed Solution

Concept- To find the square of the given polynomial. In the given polynomial a and b both are variables and the coefficient of a is 5 and coefficient of b is 6.
Given

5 a 2 + 6 b 2

so we have

(5 a 2 + 6 b 2) = (5 a 2) 2 + (6 b 2) 2 + 2 (5 a 2) (6 b 2)

Now we will open the bracket to solve the question,

(5 a 2 + 6 b 2) = 24 a 4 + 36 b 4 + 60 a 2 b 2

Hence, the correct option is 2) 25a⁴+60a²b²+36b⁴.

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