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liraira [26]
3 years ago
11

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

Mathematics
2 answers:
Vadim26 [7]3 years ago
8 0

Answer:

(6x² - 5)(x² + 2)

Step-by-step explanation:

Given

6x^{4} - 5x² + 12x² - 10 ( factor the first/second and third/fourth terms )

= x²(6x² - 5) + 2(6x² - 5) ← factor out (6x² - 5) from each term

= (6x² - 5)(x² + 2)

nirvana33 [79]3 years ago
3 0

Answer:

(x^2 + 2)(6x^2 – 5)

Step-by-step explanation:

6x^4 – 5x^2 + 12x^2 – 10

=(6x^4 – 5x^2) + (12x^2 – 10)

=x^2 (6x^2 – 5) + 2(6x^2 – 5)

=(x^2 + 2)(6x^2 – 5)

Answer

(x^2 + 2) and (6x^2 – 5) are factors of the expression 6x^4 – 5x^2 + 12x^2 – 10

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Answer:

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4186.666 - 1000 = 3186.666

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5 0
3 years ago
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Komok [63]
<h2>The required "option B) 60°" is correct.</h2>

Step-by-step explanation:

In question figure,

∠ YUV = 40°, ∠ XUY =  105° and ∠WUX =  155°

To find, the value of ∠ VUW = ?

We know that,

The circle having 360°

∴ ∠ VUW + ∠ YUV + ∠ XUY + ∠WUX = 360°

⇒ ∠ VUW + 40° + 105°+  155° = 360°

⇒ ∠ VUW + 300° = 360°

⇒ ∠ VUW = 360° -  300°

⇒ ∠ VUW = 60°

∴ The value of ∠ VUW = 60°

Hence, the required "option B) 60°" is correct.

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3 years ago
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Question 4(Multiple Choice Worth 1 points) (07.04 LC) Factor completely 49x2 − 9. (7x + 3)(7x − 3) (7x + 3)(x − 3) (7x − 3)(7x −
scoundrel [369]

Answer:

A

Step-by-step explanation:

We take a look at this expression: 49x^2-9 and notice that both terms are square numbers. 49x^2=(7x)^2 and 9=3^2.

There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares a^2-b^2, it can always be factored into (a+b)(a-b).

Here, we can apply that. In this case, a = 7x and b = 3. So:

49x^2-9=(7x)^2-3^2=(7x+3)(7x-3)

Thus, the answer is A.

Hope this helps!

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Step-by-step explanation:

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