Mathematics: Factor the expression by filling in the blank

Factor the expression by filling in the blank

Ответ:

gordonandrea313

16.03.2022

Mathematics

After factoring we get:

$(\mathbf{2}q^2r+\mathbf{3}s^2t)(\mathbf{4}q^4r^2-\mathbf{6}q^2rs^2t+\mathbf{9}s^4t^2)$

Step-by-step explanation:

The expression given is:

8q^6r^3+27s^6t^3

We need to factor the expression using the formula:

a^3+b^3=(a+b)(a^2-ab+b^2)

Given the expression:

we have

$a = 2q^2r\\b= 3s^2t$

Now applying the formula: a^3+b^3=(a+b)(a^2-ab+b^2)

$(2q^2r)^3+(3s^2t)^3\\=(2q^2r+3s^2t)((2q^2r)^2-(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)$

So, after factoring we get:

$(\mathbf{2}q^2r+\mathbf{3}s^2t)(\mathbf{4}q^4r^2-\mathbf{6}q^2rs^2t+\mathbf{9}s^4t^2)$

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Ответ:

rafamoreura

19.04.2023

Mathematics

First, convert 8/9 to a decimal:

0.89

So we're looking for a number between 0.5 and 0.89

Now convert all the options to decimals:

25/36 = 0.69
1/3 = 0.33
22/24 = 0.92
7/24 = 0.29

So the correct answer is A, 25/36.

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Factor the expression

by filling in the blank

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