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aalyn [17]
3 years ago
8

PLEASE HELP ! Will reward brainliest

Mathematics
1 answer:
klasskru [66]3 years ago
7 0
<span>To find the union of the two sets simply write all of the elements together into one big set. Remove any duplicate entries (if there are any).</span>

A \cup B = \{x,y,z,a,b,c\}

--------------------------------------------------------------

The intersection of the two sets A and B is the set of elements that are in BOTH sets. In this case, there is no overlap so we have

A \cap B = \{ \} = \varnothing
which is a way of saying "the empty set"


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Factor over complex numbers 2x^4+36x^2+162
Darina [25.2K]

<u>Answer:</u>

Factor over complex numbers of 2 x^{4}+36 x^{2}+162 is 2(x+3 i)^{2}(x-3 i)^{2}

<u>Solution:  </u>

From question given that

2 x^{4}+36 x^{2}+162  → (1)

On substituting x^{2}=y in equation (1),

=2 y^{2}+36 y+162

Taking 2 as a common in above expression,

=2\left(y^{2}+18 y+81\right)

Rewrite the above expression,

=2\left[y^{2}+2(y)(9)+9^{2}\right]

=2(y+9)^{2}  \left[\text { Using }(a+b)^{2}=a^{2}+2 a b+b^{2}\right]

=2\left(x^{2}+9\right)^{2} \left[\text { since } y=x^{2}\right]

\left[\text { Using } a^{2}+b^{2}=(a+i b)(a-i b), \text { where } i=\sqrt{-1}\right]

=2[(x+3 i)(x-3 i)]^{2}

=2(x+3 i)^{2}(x-3 i)^{2}

Hence Factor over complex numbers of 2 x^{4}+36 x^{2}+162 is 2(x+3 i)^{2}(x-3 i)^{2}

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4 years ago
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Attached a solution and showed work.

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LekaFEV [45]

Answer:

corrcet answer is 140

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can i get brainliest.

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