Math, asked by monikapatodi22, 5 months ago

(3m+4/5n)^2 solve using identities

Answers

Answered by Rahulrraj

Step-by-step explanation:

3m+4/5n)^2 solve using identities

monikapatodi22: please solve this question

revanthdelighthsr: Using the identity:(x+y)
2
=x
2
+y
2
+2xy.

We have: (3m+5n)
2
−(2n)
2
and apply the above identity as follows:

(3m+5n)
2
−(2n)
2
=[(3m)
2
+(5n)
2
+(2×3m×5n)]−4n
2
=9m
2
+25n
2
+30mn−4n
2
=9m
2
+21n
2
+30mn
=3(3m
2
+7n
2
+10mn)

Hence, (3m+5n)
2
−(2n)
2
=3(3m
2
+7n
2
+10mn).

monikapatodi22: I want to write it please solve

monikapatodi22: I am not understanding what you solved

revanthdelighthsr: ok

monikapatodi22: please solve it in note book and share me

Answered by ritaarjun335

Step-by-step explanation:

${(3m + \frac{4}{5n}) }^{2} \\ \\$

identity {a+b)²=a²+2ab+b²

$(3m)^{2} + 2(3m)( \frac{4}{5n} ) + ( \frac{4}{5n} ) ^{2}$

${9m}^{2} + \frac{24m}{5n} + \frac{16}{25n ^{2} }$

is your answer

or (3+4/5n)(3+4/5n)

monikapatodi22: thanks

ritaarjun335: welcome

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(3m+4/5n)^2 solve using identities