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3 years ago

SOLVE PLEASE REALLY NEED HELP 4√n^2 + √m^2n - √4n^2 - √mn^2

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

8 0

Answer:

m√n + 2n -n√m

Step-by-step explanation:

Solution:

4√n^2 +√m^2n - √4n^2 - √mn^2

= 4n + m√n - 2n - n√m

= m√n + 4n - 2n - n√m

Therefore, m√n + 2n -n√m

PLZ MARK ME AS BRAINLIEST!!!

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Step-by-step explanation:

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3 years ago

Expand and combine like terms (3z^5 +7z^2)^2

AVprozaik [17]

Answer:

$\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }$

Step-by-step explanation:

Since it's a perfect square, we can simply use the formula:

$\displaystyle{(ax+by)^2 = a^2x^2+2abxy+b^2y^2}$

Given the perfect square expression $\displaystyle{(3z^5+7z^2)^2}$ . Apply perfect square formula:

$\displaystyle{(3z^5+7z^2)^2 = 3^2(z^5)^2+2(3)(7)(z^5)(z^2) + 7^2(z^2)^2 }$

Knowing laws of exponent is mandatory when it comes to algebra. Recall that:

$\displaystyle{(a^m)^n = a^{mn}}\\\\\displaystyle{a^m \cdot a^n = a^{m+n}}$

Apply laws of exponent to simplify the terms or expression:

$\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }$

Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:

$\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }$

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