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3 years ago

Factor the expression completely. 9x^2 - 24x^5

Mathematics

2 answers:

alexira [117]3 years ago

7 0

3x² (3 - 8x³)

Explanation:

you have to find the GCF first (greatest common factor)

GCF is 3x²

and then, divide each term by the GCF

${3x}^{2} ( \frac{9x ^{2} }{ {3x}^{2} } + \frac{ - 24 {x}^{5} }{ {3x}^{2} } )$

now, simplify each of the term in parentheses.

if you do it correctly, you'd get 3x² (3 - 8x³) as the answer.

sveticcg [70]3 years ago

7 0

Answer:

3x^2(3 - 8x^3)

Step-by-step explanation:

9x^2 - 24x^5 = 3x^2 (3 - 8x^3)

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

= 3x^2(3^(1/3) - 2x)(3^(2/3)+ 2*(3^(1/3))x + 4x^2)

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Factor the expression completely. 9x^2 - 24x^5​

Factor the expression completely. 9x^2 - 24x^5