Mathematics: Please please please please please please help me Which of the following is the correct factorization of 8x³ + 64? (2x - 4)(4x² + 8x + 16) (2x + 2)(4x² - 16x + 36) (2x - 2)(4x² + 16x + 36) (2x + 4)(4x² - 8x + 16)

Please please please please please please help me

Ответ:

ciarrap552

20.01.2022

Mathematics

Option D: $(2 x+4)\left(4 x^{2}-8 x+16\right)$ is the factorization of $8 x^{3}+64$

Explanation:

The given expression is $8 x^{3}+64$

We need to determine the factorization of the expression $8 x^{3}+64$

Rewriting the expression as (2x)^3+(4)^3

Thus, the expression is of the form $a^{3}+b^{3}$

The formula to determine the factorization of $a^{3}+b^{3}$ is given by

$a^{3}+b^{3}=(a+b)\left(a^{2}-a b+b^{2}\right)$

where a=2x and b=4

Substituting the values in the formula $a^{3}+b^{3}=(a+b)\left(a^{2}-a b+b^{2}\right)$ , we have,

(2x)^3+(4)^3=(2x+4)((2x)^2-(2x)(4)+(4)^2)

Simplifying the terms, we have,

(2x)^3+(4)^3=(2x+4)(4x^2-8x+16)

Hence, the correct factorization of $8 x^{3}+64$ is $(2 x+4)\left(4 x^{2}-8 x+16\right)$

Therefore, Option D is the correct answer.

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Ответ:

struckedblazing

21.11.2021

Mathematics

You can use proportions to solve match the side8 =10 100now, diagonal (multiplication), then down (division), then diagonal (answer)100 x 8 = 800800 ÷ 10 = 80the answer is 80you can also look at it this 8/10 = 80%80/100 = 80% they match so they are equal, therefore 80 inches ^2 is your answer

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Please please please please please please help me

Which of the following is the correct factorization of 8x³ + 64?

(2x - 4)(4x² + 8x + 16)

(2x + 2)(4x² - 16x + 36)

(2x - 2)(4x² + 16x + 36)

(2x + 4)(4x² - 8x + 16)

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