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3 years ago

What is the prime factorization of -96? tell me how do u get the answer

Mathematics

1 answer:

bezimeni [28]3 years ago

6 0

Hello :
<span> the prime factorization of -96 is : - 3×2^5</span>

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If H is the circumcenter of triangle BCD, find each measure. CD, CE, HD, GD, HG, HF

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Answer:

H is the circumcenter of triangle BCD

CD = 2FD = 2*32 = 64
CE = BE = 26
HD = HC = 33
GD = 1/2BD = 1/2(58) = 29
HG = √HD ²-GD² = √33²-29² = 2√62 ≈ 15.75
HF = √HD ²-FD² = √33²-32² =√65 ≈ 8.06

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2 years ago

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

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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 $x^2+xy+y^2$