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2 years ago

Which value of a would make the following expression completely factored?

Mathematics

1 answer:

ehidna [41]2 years ago

7 0

Answer:

Step-by-step explanation:

x^2 - a

If a is a perfect square we could factor

x^2 - b^2 = (x-b)(x+b)

So a cannot be 36,49,81 since they are perfect squares

a must be 12

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What is the following sum? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0

Free_Kalibri [48]

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$\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}$

Hence, ption B is true.

Step-by-step explanation:

Given the expression

$\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}$

solving the expression

$\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}$

$\sqrt{x^2y^3}=xy\sqrt{y}$

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so the expression becomes

$\:\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}$

Group like terms

$=2xy^2\sqrt{x}+xy\sqrt{y}+xy\sqrt{y}$

Add similar elements

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Therefore, we conclude that:

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IgorLugansk [536]

Good morning ☕️

Answer:

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Step-by-step explanation:

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2 years ago