Need help with possibly explanation on how to answer the following math questions.?

2016-07-08 4:29 pm
Simplify the following please. Been a very long time since I have had to do this and need as much help as possible.


1: 3(2x - 4)(x - 1) - 4(x - 3)(5x + 2)

2: (-3)^5

3: (-5)^0

4: 4^7 ÷ 4^2

回答 (2)

2016-07-08 8:21 pm
✔ 最佳答案
1.) 3(2x - 4)(x -1) - 4(x - 3)(5x + 2)

= 3(2x^2 - 2x - 4x + 4) - 4(5x^2 + 2x - 15x - 6)

= 3(2x^2 - 6x + 4) - 4(5x^2 - 13x - 6)

= (6x^2 - 18x + 12) - (20x^2 - 52x - 24)

= 6x^2 - 18x + 12 - 20x^2 + 52x + 24

= -14x^2 + 34x + 36.
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2.) (-3)^5

= -3 * -3 * -3 * -3 * -3

= 9 * 9 * -3

= 81 * -3

= -243.
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3.) (-5)^0 = -5/-5 = 1.

x^0 = 1...FOR ALL NONZERO X. 0^0 = 0/0 = indeterminate.
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4.) 4^7 ÷ 4^2 = 4^(7 - 2) = 4^5 = 16 * 16 * 4 = 256 * 4 = 1024.
2016-07-08 4:35 pm
1:
3(2x - 4)(x - 1) - 4(x - 3)(5x + 2)
= 3(2x² - 2x - 4x + 4) - 4(5x² + 2x - 15x - 6)
= 3(2x² - 6x + 4) - 4(5x² - 13x - 6)
= 6x² - 18x + 12 - 20x² + 52x + 24
= -14x² + 34x + 34


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2:
(-3)^5
= (-1)^5 (3)^5
= -243


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3:
For all real x, x^0 = 1

(-5)^0 = 1


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4:
4^7 ÷ 4^2
= 4^(7 - 2)
= 4^5
= 1024


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