State whether the statements are true (T) or false (F)Common factor of

1.	State whether the statements are true (T) or false (F)Common factor of 11pq2, 121p2q3, 1331p2q is 11p2q2.
Answer» False Common factors of 11pq², 121p²q³ and 1331p²q can be found out as: Common factors (11pq², 121p²q³, 1331p²q) = Common factors (11×pq, 11×11p²q³, 11×121p²q) ⇒ Common factors (11pq², 121p²q³, 1331p²q) = 11 [∵, 11 divides all the three term 11pq², 121p²q³ and 1331p²q; p divides all the three terms 11pq², 121p²q³ and 1331p²q; and q divides all the three terms 11pq², 121p²q³ and 1331p²q]

State whether the statements are true (T) or false (F)Common factor of 11pq2, 121p2q3, 1331p2q is 11p2q2.

Answer»

False

Common factors of 11pq², 121p²q³ and 1331p²q can be found out as:

Common factors (11pq², 121p²q³, 1331p²q) = Common factors (11×pq, 11×11p²q³, 11×121p²q)

⇒ Common factors (11pq², 121p²q³, 1331p²q) = 11

[∵, 11 divides all the three term 11pq², 121p²q³ and 1331p²q; p divides all the three terms 11pq², 121p²q³ and 1331p²q; and q divides all the three terms 11pq², 121p²q³ and 1331p²q]

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State whether the statements are true (T) or false (F)Common factor of 11pq2, 121p2q3, 1331p2q is 11p2q2.

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