Question

find the following by using suitable identity (3/4 p²+2/3 q²)(3/4 p² + 2/3 q²)
plz solve it I will mark as brainlest ​

Answer 1

Step-by-step explanation:

here, we can use the (a+b)² = a² + 2ab + b²

here, in place of a we have 3/4 p² and in place of b we have 2/3q²        

now (a+b)² is same as (a+b)(a+b)

so the equation becomes

(3/4 p² + 2/3 q²)²

= (3/4 p²)² + 2(3/4 p²)(2/3 q²) + (2/3 q²)

= 3² p^4 + 2* 3 * 2 * p² q² +  2² q^4

  4²             4   3                 3²

now solving...

= 9 p^4  + 1 * p² q² + 4 q^4

 16                             9

at this point we have a 4th degree equation

we cannot solve further and obtain the values of p and q

i hope this helps

i hope there is no mistake in the question that you asked,... was there supposed to be a division operation between the the first bracket and the second?

i.e was the question like

(3/4 p²+2/3 q²) / (3/4 p²+2/3 q²)

if thats the case then the answer is 1 ofcourse :)