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butalik [34]
3 years ago
15

Find the smallest digit which makes the following number divisible by 3: 2438__

Mathematics
1 answer:
yuradex [85]3 years ago
5 0
For a number divisible by 3, sum of digits must be divisible by 3.

So 2438__

2+4+3+8+__=must be divisible by 3

17+__=18(closest)

Hence Answer = 1(Answer
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Answer:

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Step-by-step explanation:

Given

18x³y - 9x²y - 72xy³ + 36y³ ← factor out 9y from each term

= 9y(2x³ - x² - 8xy² + 4y²)

Factor the first/second and third/fourth term in the parenthesis

= 9y( x²(2x - 1) - 4y²(2x - 1)) ← factor out (2x - 1) from each term

= 9y(2x - 1)(x² - 4y²)

x² - 4y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x² - 4y²

= x² - (2y)² = (x - 2y)(x + 2y), hence

18x³y - 9x²y + 72xy³ + 36y³

= 9y(2x - 1)(x - 2y)(x + 2y) ← in factored form

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