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KATRIN_1 [288]
3 years ago
13

Which of the following are identities?

Mathematics
2 answers:
podryga [215]3 years ago
6 0

Answer:

A. III only

Step-by-step explanation:

In mathematics, an identity is one of the characteristics of algebraic expressions.

Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.

Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.

In the above question, we are given 3 Options.

I) 3(5 + 2x) = 15 + 6x

II) y = x + 3

III) (x² - y²) = (x + y) (x - y)

Option I) 3(5 + 2x) = 15 + 6x

Is showing distributive property in mathematics.

Distributive property is :

a(b + c) = ab + ac

Option I is not an identity , therefore it is wrong.

Option II) y = x + 3 is just an algebraic expression.

Only Option III is an identity. This is because it follows the rule of

(a² - b²) = (a + b) (a - b)

We can prove and confirm this be solving the algebraic expression

(x + y) (x - y)

We expand the bracket

x² - xy +xy - y²

x² - y²

Therefore, option A is the correct option.

HACTEHA [7]3 years ago
6 0

Answer:

the answer is A

Step-by-step explanation:

try using math_way for help :)

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For example, the distance between Bedford and Cambridge is 29 miles because of the "29" in the very top block. This is the intersection between the "bedford" column and the "cambridge" row. Another example: The distance from Cambridge to Haverhill is 48 miles. Look in the "cambridge" column and the "haverhill" row.

With this in mind, we just need to look at the right rows and columns to find the distances to add up. See the set of attached images below. Figure 1 shows me marking the "cambridge" column and the "royston" row. In this row and column combo is the number 13. So the distance between these two cities is 13 miles.

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3 years ago
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Step-by-step explanation:

2.5(10x + 8) +3

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hope dis helps ^-^

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