Question

evaluate using identity:- (4x/5+3y/5)(4x/5+3y/5)​

Answer 1

Answer:

(4x/5+3y/5)(4x/5+3y/5)

Let (4x/5+3y/5) is equal to a

Write a at the place of (4x/5+3y/5)

Then the equation will be a*a = a^2

Write (4x/5+3y/5) at place if a

(4x/5+3y/5)^2

Let 4x/5 is equal to a and 3y/5 is equal to b

by the identity (a+b)^2 = a^2+ b^2+2ab

= (4x/5)^2+(3y/5)^2+2×4x/5×3y/5

=16x^2/25+9y^2/25+24xy/25

=16x^2+9y^2+24xy/25

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