Question

add : l^2 + m^2, m^2 + n^2, n^2 + l^2, 2lm + 2mn + 2nl subtract :a)(1.5x - 4y)(1.5x + 4y + 3) b)(a+7)(a^2 + 3a+5) c) (2 +34 ) (2 +34 )

Answer 1

5xyz2 – 3zy

      (ii)  1 + x + x2

      (iii) 4x2y2 – 4x2y2z2 + z2

      (iv) 3 – pq + qr – rp

      (v) 

      (vi) 0.3 a – 0.6 ab + 0.5 b

Sol.  (i)     5xyz2 – 3zy

                    In the expression 5xyz2 – 3zy, the terms are 5xyz2 and –3zy.

                    coefficient of xyz2 in the term 5xyz2 is 5.

                    coefficient of zy in the term –3zy is –3.

          (ii)    1 + x + x2

                    In the expression 1 + x + x2, the terms are 1, x and x2.

                    Coefficient of x° in the term 1 is 1.

                    Coefficient of x in the term x is 1.

                    Coefficient of x2 is the term x2 is 1.

         (iii)    In the expression 4x2y2 – 4x2y2z2 + z2, the terms are 4x2y2, –4x2y2z2 and z2.

                    Coefficient of x2y2 in the term 4x2y2 is 4.

                    Coefficient of x2y2z2 in the term –4x2y2z2 is –4.