Question

1. Add the following:
a) (8x2 + 1) + (3x? - 2)
b) yx - yz, zy – zx, xz - xy
c) 2x -y + 2xy, y + z- yz, z - x + xz d) 2a-b2 - 3ab + 5,3 -9ab + 3ab2
e) 3Pmn - Im’n, 2lmºn + Imn?, - 31mn? + 27mn​

Answer 1

Add the following expressions:

(i) 5x, 7x, −6x
(ii) 35x,23x,−45x

(iii) 5a2b, −8a2b, 7a2b
(iv) 34x2,5x2,−3x2,−14x2

(v) x − 3y + 4z, y − 2x − 8z, 5x − 2y − 3z
(vi) 2x2 − 3y2, 5x2 + 6y2, − 3x2 − 4y2
(vii) 5x − 2x2 − 8, 8x2 − 7x − 9, 3 + 7x2 − 2x
(viii) 23a−45b+35c,−34a−52b+23c,52a+74b−56c

(ix) 85x+117y+94xy,−32x−53y−95xy

(x) 32x3−14x2+53,−54x3+35x2−x+15,−x2+38x−815

ANSWER:

(i)
5x + 7x + (-6x)
= 5x + 7x -6x
= 6x

(ii)

35x +23x +−45x=9x +10x −12x15=7x15


(iii)
5a2b +( −8a2b) + 7a2b
= 5a2b − 8a2b + 7a2b
4a2b

(iv)
34x2 + 5x2+ (−3x2 ) + (−14x2)=34x2 − 14x2 + 5x2−3x2=12x2 + 2x2 = 52x2



(v) Collecting like terms and adding them:

x − 3y + 4z + y − 2x − 8z + 5x − 2y − 3z
= x- 2x + 5x - 3y + y - 2y + 4z - 8z - 3z
= 4x -4y -7z

(vi) Collecting like terms and adding them:
2x2 − 3y2 + 5x2 + 6y2 + (− 3x2 − 4y2)
= 2x2 + 5x2 − 3x2 − 3y2 +6y2 −4y2= 4x2 −y2


(vii) Collecting like terms and adding them:
5x − 2x2 − 8 + 8x2 − 7x − 9 + 3 + 7x2 − 2x
= −2x2 +8x2 + 7x2 + 5x − 7x − 2x −8 −9 + 3= 13x2 −4x −14



(viii) Collecting like terms and adding them:

23a−45b+35c +(−34a −52b+23c )+ 52a+74b− 56c b −52b +74b +35c +23c − 56c =(8 −9 +30)a12 + (−16 − 50 +35)b20 + (18 +20 −25)c30=2912a − 3120b + 1330c



(ix) Collecting like terms and adding them:
85x+ 117y+94xy + (− 32x− 53y−95xy)=85x − 32x+ 117y − 53y +94xy −95xy = 110x − 221y + 920xy


(x) Collecting like terms and adding them:
32x3−14x2 +53+(− 54x3+35x2− x+15)+(− x2 +38x−815)= 32x3 − 54x3 −14x2 +35x2− x2 − x +38x +53+15−815=14x3 − 1320x2 −58x +43
x+117y+94xy,−32x−53y−9

May this help


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