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madreJ [45]
3 years ago
11

URGENT!

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer:

<h2>(x² - 5)(x² + 5)(x⁴ + 25)</h2>

Step-by-step explanation:

x^8-625=x^{4\cdot2}-25^2\qquad\text{use}\ (a^n)^m=a^{n\cdot m}\qquad(*)\\\\=(x^4)^2-25^2\qquad\text{use}\ a^2-b^2=(a+b)(a-b)\qquad(**)\\\\=(x^4+25)(x^4-25)=(x^4+25)(x^{2\cdot2}-5^2)\qquad\text{use}\ (*)\\\\=(x^4+25)\bigg((x^2)^2-5^2\bigg)\qquad\text{use}\ (**)\\\\=(x^4+25)(x^2+5)(x^2-5)

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4 years ago
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Answer:

8x(10)^9 - 2 x (10)^1

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Step-by-step explanation:

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For greater number

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8x(10)^9 - 2 x (10)^1  ( we use 9 as the power because greater number used as power gives the bigger number and the next smaller number 8 as base. Similarly we use smaller number for power to get a smaller for the greatest difference)

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For smaller number

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1x(10)^3 - 9 x (10)^2   ( we use 3 as the power because smaller number used as power gives the smaller number and the next smallest number 1 as base. Similarly we use next smaller number for power to get the next  smaller for the smallest difference)

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We fill in the blanks keeping in mind that we do not have to repeat the numbers from 1-9 and also the numbers should have such an arrangement that they show the smallest and largest possible differences.

4 0
3 years ago
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Step-by-step explanation:

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