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3 years ago

Explain the difference in meaning between 8^2+2^2 and (8+2)^2

Mathematics

1 answer:

Tpy6a [65]3 years ago

3 0

8^2 is 64 and 2^2 is 4. When you add them together you get 68.
(8+2)^2 is the same as 10^2 which is 100.
68≠100

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Answer:

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Step-by-step explanation:

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12/30

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3 years ago

(x³ + ³) / (x - y)<br> Do not include parentheses in your answer.

Lubov Fominskaja [6]

The simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$

<h3>Complete question</h3>

Simplify the expression: (x³ + (-y)³) / (x - y)

Do not include parentheses in your answer.

<h3>How to simplify the expression?</h3>

The expression is given as:

$\frac{x^3 + (-y)^3}{(x - y}$

Open the inner bracket

$\frac{x^3 -y^3}{(x - y}$

Apply the difference of two cubes to the numerator

$\frac{(x-y)(x^2+xy+y^2)}{(x - y}$

Cancel out the common factors

$x^2+xy+y^2$

Hence, the simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$