Question

Please solve this by using identity
(x/2 +3/4y)^2

Answer 1

Answer:

5xyz2 – 3zy

      (ii)  1 + x + x2

      (iii) 4x2y2 – 4x2y2z2 + z2

      (iv) 3 – pq + qr – rp

      (v) 

      (vi) 0.3 a – 0.6 ab + 0.5 b

Sol.  (i)     5xyz2 – 3zy

                    In the expression 5xyz2 – 3zy, the terms are 5xyz2 and –3zy.

                    coefficient of xyz2 in the term 5xyz2 is 5.

Answer 2

$(\frac{x}{2} +\frac{3}{4y})^{2}$

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

$\frac{x^2}{4} +\frac{9}{16y^2} +2(\frac{x}{2} )(\frac{3}{4y} )$

in the 3rd term 2 gets cancelled and add the 1st and 2nd terms.

$\frac{16x^2y^2+36}{64y^2}+\frac{3x}{4y}$

add them and you get the answer.