Q. 4

# Add the following algebraic expressions:i. 2x2 + 3x + 5 and 3x2 - 4x -7ii. x2 - 2 x -3 and x2 + 3x + 1iii. 2t2 + t -4 and 1 – 3t – 5t2iv. xy - yz, yz - xz and zx - xyv. a2 + b2, b2 + c2, c2 + a2 and 2ab + 2bc + 2ca

i. 2x2 + 3x + 5 and 3x2 - 4x -7

Column method of addition

5 - x -2

ii. -2 x -3 and + 3x + 1

Column method of addition

+ x -2

iii. + t -4 and

Row method of addition

( + t -4) + ()

Now combine the like terms

= () + (t-3t) + (-4 + 1)

= - 2t - 3

iv. xy - yz, yz - xz and zx - xy

(xy-yz) + (yz-xz) + ( zx-xy)

Now combine the like terms

= (xy-xy) + (-yz + yz) + ( -xz + zx)

= 0 + 0 + 0

= 0

V. + , + , + and 2ab + 2bc + 2ca

Observe we have written the term- of the second polynomial below the corresponding term of the first polynomial. Since the term in the second polynomial and the term 2ab + 2bc + 2ca in the fourth polynomial do not exist, so their respective places have been left blank to facilitate the process of addition.

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