Question

Simplify {4/3 m - 3/4n}^2 + 2mn
As soon as possible , thank you

Answer 1

we know (a-b)^2=a^2-2ab+b^2
(4/3m - 3/4n)^2 +2mn
(4/3)^2 -2*4/3m*3/4n + (3/4n)^2 +2mn
16/9m^2 -2mn +9/16n^2 +2mn
16/9m^2 + 9/16n^2

Answer 2

Answer:

$\huge\bold\red{ANSWER}$

Step-by-step explanation:

$\large{\underline{\rm{\red{SOLUTION :}}}}$

$\implies\sf\blue{Given\:(\dfrac{4}{3m}-\dfrac{3}{4n})^2+2mn}\\\\\\\implies\sf\green{use\:(a-b)^2=a^2+b^2-2ab}\\\\\implies\sf\pink{\dfrac{16}{9m^2}+\dfrac{9}{16n^2}-2(\dfrac{4}{3m})(\dfrac{3}{4n})+2mn}\\\\\\\implies\sf\pink{\dfrac{16}{9m^2}+\dfrac{9}{6n^2}-\dfrac{12}{6mn}+2mn}\\\\\\\implies\sf\pink{therefore\:\dfrac{16}{9m^2}+\dfrac{9}{16n^2}\:is\:your\:answer}$