Question

विस्तार करा- (5a + 6b)²

Answer 1

विस्तार करा - (5a + 6b)²

We know that :

( a + b )^2 = a^2 + 2ab + b^2

Similarly, in your question,

$\tt \small{(5a + 6b) {}^{2} =( 5a) {}^{2} + 2 \times 5a \times 6b \times (6b) {}}^{2}$

Simplifying further, we get :

$\tt {= 25 {a}^{2}+ 60ab + 36b {}}^{2}$

Hence,

Final answer :

(5a + 6b) = 25a² + 60ab + 36b².

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Answer 2

$\mathfrak{\huge{Answer:}}$

We've studied much about identities. Thus, we are aware of the identity :

$\tt{(a+b)^{2} = a^{2} + b^{2} + 2ab}$

Now, to solve this question, put the value of the variables :

a as = 5a

And,

b as = 6b

Put the values in the equation and then, simply solve them out. Doing the same, we get the value as :

$\tt{(5a+6b)^{2} = (5a)^{2} + (6b)^{2} + 2 (5a)(6b)}$

Solve this formed equation further:

$\tt{(5a+6b)^{2} = 25a^{2} + 36b^{2} + 60ab}$

That's your answer !

Use the comments section to ask your further doubts.