Add Following Expressions 17×2 2xy 23y2 9y2 15×2 7xy And 13×2 3y2 4xy

Add the following expressions : (i) – 17×2 – 2xy + 23y2, -9y2 + 15×2 + 7xy and 13×2 + 3y2 – 4xy (ii) – … a, b3 – 2a3 + b and -2b +…

Answers:

(i) (-17x² – 2xy + 23y²) + (-9y² + 15x² + 7xy) + (13x² + 3y² – 4xy)

= – 17x² – 2xy + 23y² – 9y² + 15x² + 7xy + 13x² + 3y² – 4xy

= -17x² + 15x² + 13x² – 2xy – 4xy + 7xy + 23y² + 3y² – 9y²

= 11x² + xy + 17y²

(ii) (-x² – 3xy + 3y² + 8) + ( 3x² – 5y² – 3 + 4xy) + (-6xy + 2x² – 2 + y²)

= – x² – 3xy + 3y² + 8 + 3x² – 5y² – 3 + 4xy – 6xy + 2x² – 2 + y²

= – x² + 3x² + 2x² – 3xy – 6xy + 4xy + 3y² + y² – 5y² + 8 – 3 – 2

= 4x² – 5xy – y² + 3

(iii) (a³ – 2b³ + a) + (b³ – 2a³ + b) + (-2b + 2b³ – 5a + 4a³)

= a³ – 2b³ + a + b³ – 2a³ + b – 2b + 2b³ – 5a + 4a³

= a³ + 4a³ – 2a³ – 2b³ + b³ + 2b³ + a – 5a + b – 2b

= 3a³ + b³ – 4a – b