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Answer 1

Question :-

→ Explain why ( 17 × 11 × 2 + 17 × 11 × 5) a composite number.

Answer :-

Step-by-step explanation :-

We have,

→ ( 17 × 11 × 2 ) + ( 17 × 11 × 5 ) .

= ( 17 × 11) ( 2 + 5 ).

$=$ ( 17 × 11 × 7 ) = x [ Let ].

Thus, the number x has 3 factors i.e., 17 × 11 × 7.

And, we know that composite numbers are those numbers who have more than 2 factors.

Therefore, the number x is a composite number as it has 3 factors.

Hence, it is solved.

Answer 2

Q. Explain why 17 × 11 × 2 + 17 × 11 × 5 a composite number is.

       

$\underline{\underline{\bf SOLUTION :}}$

Now, what is a composite number ?

A composite number is a number which has more than two factor(one and number itself).

Examples of composite numbers-

20, which has factor 2,10,5 more than 2

Now answer:

17 × 11 × 2 + 17 × 11 × 5

= (17 × 11 × 2) + (17 × 11 × 5)

[take 17 and 11 as common]

= ( 17 × 11) ( 2 + 5 )

= 17 × 11 × 7  

[as 2+5 = 7]

now,

method 1

let,

17 × 11 × 7 = a

so, a as more than two factors (1 and itself) i.e 17, 11, 7

now

method 2

17 × 11 × 7 = 1309

So,

1309 has more than two factor

Hence,

7 × 11 × 2 + 17 × 11 × 5 a composite number is.

$\boxed{\boxed{\bf Proved}}$