if a=2y²+3x_x² , b=2x²_3y² , c=3x²_5xy then find
a+b
b_c
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b please find the attached file is scanned
Answered by
4
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
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