Question

(3x + 5y)² get the answer bi 1st identity of algebgra

Answer 1

Answer:

9x²+25y²+30xy

Step-by-step explanation

Given,(3x+5y)²=?

We all know that,(a+b)²=a²+b²+2ab

Putting a=3x,and b=5y,we get

(3x+5y)²=(3x)²+(5y)²+2×3x×5y

              =9x²+25y²+30xy

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Answer 2

Answer is $9 {x}^{2} + 30xy + 25 {y}^{2}$

GIVEN :- (3x + 5y)²

TO FIND:- Answer by first identity of algebra

SOLUTION :-

According to First identity of algebra,

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

Here a = 3x and b = 5y

By substituting the values in the formula,

${(3x + 5y)}^{2}$

$= {(3x)}^{2} + (2 \times 3x \times 5y) + {(5y)}^{2}$

$= 9 {x}^{2} + 30xy + 25 {y}^{2}$

Hence, Answer is $9 {x}^{2} + 30xy + 25 {y}^{2}$

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