Question

use the identities.
( x/2 + y/3 )^2​

Answer 1

Step-by-step explanation:

question:

use the identities.

( x/2 + y/3 )²

by using identity (a+b)² = a² + b² +2ab

here; a= $\frac{x}{2}$ and b= $\frac{y}{3}$

= ($(\frac{x}{2} +\frac{y}{3} )^{2} \\\\= (\frac{x}{2})^{2} +(\frac{y}{3} )^{2} +2(\frac{x}{2} )(\frac{y}{3} )\\\\= \frac{x^{2} }{4} + \frac{y^{2} }{9} + \frac{2xy}{6}\\\\\frac{x^{2} }{4} + \frac{y^{2} }{9} + \frac{xy}{3}$

hope it helps ....................

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Algebraic Identities list are given below:

Identity I: (a + b)2 = a2 + 2ab + b2

Identity II: (a – b)2 = a2 – 2ab + b2

Identity III: a2 – b2= (a + b)(a – b)

Identity IV: (x + a)(x + b) = x2 + (a + b) x + ab

Identity V: (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

Identity VI: (a + b)3 = a3 + b3 + 3ab (a + b)

Identity VII: (a – b)3 = a3 – b3 – 3ab (a – b)

Identity VIII: a3 + b3 + c3 – 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca)

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