Question

if a=2y²+3x_x² , b=2x²_3y² , c=3x²_5xy then find
a+b
b_c​

Answer 1

b please find the attached file is scanned

Answer 2

iven:

A=2y^2+3x-x^2A=2y

2

+3x−x

2

B=3x^2-y^2B=3x

2

−y

2

C=5x^2-3xyC=5x

2

−3xy

\text{Now,}Now,

(i)A+B(i)A+B

=2y^2+3x-x^2+3x^2-y^2=2y

2

+3x−x

2

+3x

2

−y

2

=2x^2+3x+y^2=2x

2

+3x+y

2

(ii)B+C(ii)B+C

=3x^2-y^2+5x^2-3xy=3x

2

−y

2

+5x

2

−3xy

=8x^2-3xy-y^2=8x

2

−3xy−y

2

(iv)B-C(iv)B−C

=(3x^2-y^2)-(5x^2-3xy)=(3x

2

−y

2

)−(5x

2

−3xy)

=3x^2-y^2-5x^2+3xy=3x

2

−y

2

−5x

2

+3xy

=-2x^2+3xy+y^2=−2x

2

+3xy+y

2

(v)A+B+C(v)A+B+C

=2y^2+3x-x^2+3x^2-y^2+5x^2-3xy=2y

2

+3x−x

2

+3x

2

−y

2

+5x

2

−3xy

=7x^2-3xy+y^2+3x=7x

2

−3xy+y

2

+3x

(vi)A+B-C(vi)A+B−C

=2y^2+3x-x^2+3x^2-y^2-(5x^2-3xy)=2y

2

+3x−x

2

+3x

2

−y

2

−(5x

2

−3xy)

=2y^2+3x-x^2+3x^2-y^2-5x^2+3xy=2y

2

+3x−x

2

+3x

2

−y

2

−5x

2

+3xy

=3x^2+3xy+y^2+3x=3x

2

+3xy+y

2

+3x