Step-by-step explanation:
Quotient of Two Differences
From the given expressions,
[tex]\frac{4-9}{6-1}[/tex] is the expression which is basically the quotient of two differences.
As
- [tex]4-9[/tex] is the first difference
- [tex]6-1[/tex] is the second difference
- As the quotient is basically the ratio of two items or expressions. So, [tex]\frac{4-9}{6-1}[/tex] is basically the quotient of two differences.
Difference of Two Products
From the given expressions,
[tex](4)(5)-(2)(8)[/tex] is the difference of two products.
As
- [tex](4)(5)[/tex] is the first product - a product of 4 and 5
- [tex](2)(8)[/tex] is the second product - a product of 2 and 8
Therefore, the difference of two products would be represented as [tex](4)(5)-(2)(8)[/tex].
Similarly,
[tex]5(2)(7)-(3)(8)[/tex] is the difference of two products.
As
- [tex]2(5)(7)[/tex] is the first product - a product of 2, 5 and 7
- [tex](3)(8)[/tex] is the second product - a product of 3 and 8
Therefore, the difference of two products would be represented as [tex]5(2)(7)-(3)(8)[/tex].
Product of two quotients
From the given expressions,
[tex]\frac{3-2}{5-8}.\frac{1-7}{9-4}[/tex] is the product of two quotients
As
[tex]\frac{3-2}{5-8}[/tex] is the first quotient - a quotient of [tex]3-2[/tex] and [tex]5-8[/tex].
[tex]\frac{1-7}{9-4}[/tex] is the second quotient - a quotient of [tex]1-7[/tex] and [tex]9-4[/tex]
Therefore, [tex]\frac{3-2}{5-8}.\frac{1-7}{9-4}[/tex] is the product of two quotients.
None of These
From the given expression,
(11 ÷ 5) [tex](\frac{1-4}{6-12})[/tex] and [tex]\frac{9}{2}[/tex] ÷ [tex]\frac{14}{7}[/tex] are the remaining expressions that will come under 'None of These' as they do not lie under other categories like Quotient of Two Differences, Difference of Two Products, or Product of two quotients.
Keywords: Quotient of Two Differences, Difference of Two Products, Product of two quotients.
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