What are the factors of

Mathematics

1 answer:

Veronika [31]2 years ago

7 0

Step 1: Trying to factor as a Difference of Squares:

Factoring: x²⁰⁰² - 1

Theory : A difference of two perfect squares, A² - B² can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B²

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check: x²⁰⁰² is the square of x¹⁰⁰¹

Factorization is : (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)

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Marta_Voda [28]

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^^^^^^^ ^^^^^^
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3 years ago

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The ratio of dogs to cats being treated at a veterinarian's office this week is 5 : 2. Suppose there are 168 dogs and cats sched

Alexeev081 [22]

Answer:

48 cats

Step-by-step explanation:

Am interesting factoid about ratios:

The ratio $a:b$ can be separated into fractional parts of $\frac{a}{a + b}$ and $\frac{b}{a + b}$ . We need to know the cat part. $\frac{2}{5 + 2} = \frac{2}{7}$ , so that is the fraction part. Then, we multiply this fraction by 168 to get the total number of cats. This number is 48.