Question

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Answer 1

Step-by-step explanation:

1. Find all the possible factors of the following :

(a) 12p²q

=> 2 × 2 × 3 × p × p × q ✔

(b) 16xy²z

=> 2 × 2 × 2 × 2 × x × y × y × z ✔

(c) 20a²b²c²

=> 2 × 2 × 5 × a × a × b × b × c × c ✔

_____________________________

2. Find the common factors of the following monomials :

(a) 2xy , 12x²y

=> 2xy = 2 × x × y

12x²y = 2 × 2 × 3 × x × x × y

Common terms in 2xy and 12x²y :-

= 2 × x × y

= 2xy ✔

(b) 3m² , 15m⁴

=> 3m² = 3 × m × m

15m⁴ = 3 × 5 × m × m × m × m

Common terms in 3m² and 15m⁴ :-

= 3 × m × m

= 3m² ✔

(c) 3ax²y , 18axy

=> 3ax²y = 3 × a × x × x × y

18axy = 2 × 3 × 3 × a × x × y

Common terms in 3ax²y and 18axy :-

= 3 × a × x × y

= 3axy

25p²q⁴ 15pq²

= 5×5×p×p×q×q×q×q,5×3×p×q

common factor = 5×p×q = 5pq