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1 year ago

LCM of a2+b2 and a4-b4

Mathematics

1 answer:

Zarrin [17]1 year ago

4 0

Answer:

The LCM is:

$(a^2+b^2)(a+b)(a-b)$

Step-by-step explanation:

Given polynomials are:

$a^2+b^2\\a^4 - b^4$

We can use factorization to find the LCM of the given polynomials.

Taking the second polynomial, using the identity

$a^2 - b^2 = (a+b)(a-b)$

Applying on 2nd polynomial

$(a^2)^2-(b^2)^2\\=(a^2+b^2)(a^2-b^2)\\=(a^2+b^2)(a+b)(a-b)$

We can see that $a^2+b^2$ is common in both polynomials, it will be counted only one time. The LCM of given polynomials is:

$(a^2+b^2)(a+b)(a-b)$

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Step-by-step explanation:

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1 year ago

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2 years ago

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2 years ago

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vladimir1956 [14]

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Cov(X, Y) =0.029.

Step-by-step explanation:

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2 years ago

High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

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Answer:

The 95% confidence interval the average maximum power is (596.0 to 644.0)

Step-by-step explanation:

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Critical t-value associated with 95% confidence interval and 15 degrees of freedom, as seen from t-table = $t_{\frac{\alpha}{2}}$ = 2.131

The formula to calculate the confidence interval is:

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We have all the required values. Substituting them in the above expression, we get:

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Thus, the 95% confidence interval the average maximum power is (596.0 to 644.0)

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2 years ago

LCM of a2+b2 and a4-b4​

LCM of a2+b2 and a4-b4