Question

The number 3¹³ - 3¹⁰ is divisible by
(a) 2 and 3
(c) 2, 3 and 10
(b) 3 and 10
(d) 2, 3 and 13​

Answer 1

The number 3¹³ - 3¹⁰ is divisible by 2, 3 and 13​

Step-by-step explanation:

3¹³  - 3¹⁰

= 3⁽¹⁰⁺³⁾ - 3¹⁰

= 3¹⁰ * 3³  - 3¹⁰

= 3¹⁰ ( 3³ - 1)

= 3¹⁰ ( 27 - 1)

= 3¹⁰ * 26

= 3¹⁰ * 2 *  13

only factors are 2  , 3 , 13

so not divisible by 10

The number 3¹³ - 3¹⁰ is divisible by 2, 3 and 13​

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Answer 2

d)2,3,13.........

b/c 3¹³-3¹⁰

=3¹⁰*3³-3¹⁰

=3¹⁰(3³-1)

=3¹⁰(27-1)

=3¹⁰*26 3¹⁰= 59049 26=2*13

=3¹⁰*2*13

I.e. 3*2*13.........

ì hôpē ťhïś wįłľ hęļp ùĺł❤❤❤...