Question

Mathematics
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Answer 1

S O L U T I O N :

a) Prime factorization of 6000 in exponential form is :

=> 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5

=> 2⁴ × 3¹ × 5³

b) (x² - 2xy + y²) (x² + 2xy + y²)

=> x²(x²) + x²(2xy) + x²(y)² - 2xy(x²) - 2xy(2xy) - 2xy(y)² + y²(x²) + y²(2xy) + y²(y²)

=> x⁴ + 2x³y + x²y² - 2x³y - 4x²y² - 2xy² + x²y² + 2xy² + y⁴

=> x⁴ + y⁴ + 2x²y² - 4x²y²

c) V is the set of vowels in the word COMPETITION.

=> set builder form - {x : x is a vowel in the word COMPETITION}

=> roster form - {O, E, I}