Question

Add the following algebraic expressions:

(i) 11/2xy + 12/5y + 13/7x, -11/2y – 12/5x – 137xy

(ii) 7/2x3 – 1/2x2 + 5/3, 3/2x3 + 7/4x2 – x + 1/3, 3/2x2 -5/2x -2

Answer 1

(i) 11/2xy + 12/5y + 13/7x, -11/2y – 12/5x – 13/7xy

= 11/2xy + 12/5y + 13/7x + -11/2y – 12/5x – 13/7xy

= 11/2xy – 13/7xy + 13/7x – 12/5x + 12/5y -11/2y

= 51xy/14 – 19x/35 – 31y/10

(ii) 7/2x3 – 1/2x2 + 5/3, 3/2x3 + 7/4x2 – x + 1/3, 3/2x2 -5/2x – 2

= 7/2x3 – 1/2x2 + 5/3 + 3/2x3 + 7/4x2 – x + 1/3 + 3/2x2 -5/2x – 2

= 7/2x3 + 3/2x3 – 1/2x2 + 7/4x2 + 3/2x2 – x – 5/2x + 5/3 + 1/3 – 2

= 10/2x3 + 11/4x2 – 7/2x + 0/6

= 5x3 + 11/4x2 -7/2x