FINDING THE HCF OF ALGEBRAIC EXPRESSIONS WORKSHEET

Find the HCF of the following :

(1)  4x and 12

(2)  3x and 6

(3)  3ab and 6b

(4)  4y and 4xy

(5)  6x² and 2x

(6)  3y and 9y²

(7)  2(x – 1) and 3(x – 1)

(8)  4(x + 2) and (x + 2)

(9)  3(x + 1) and (x + 1) (x – 4)

(10)  (x - 2)² and 2(x - 2) (x – 5)

(11)  2x(5 - x) and x²(5 - x)

(12)  (x + 2)² and 5(x - 4) (x + 2)

Solution

Find the highest common factor of the following :

(i)  c²-d², c(c-d)

(ii)  x⁴-27a³x, (x-3a)²

(iii)  m²-3m-18,  m²+5m+6

(iv)  x²+14x+33, x³+10x²-11x

(v)  x²+3xy+2y², x²+5xy+6y²

(vi)  2x²-x-1, 4x²+8x+3

(vii)  x²-x-2, x²+x-6, 3x²-13x+14

(viii)  x³-x²+x-1, x⁴ - 1

(ix)  24 (6x⁴-x³-2x²), 20(2x⁶+3x⁵+x⁴)

(x)  (a-1)⁵ (a+3)², (a-2)² (a-1)³ (a+3)⁴

Solution

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