5x^2+25x=5x(x+5) you just take 5x common
4x^2-16=4(x^2-4)=4(x-2)(x+2)
first you take 4 common then its difference of two squares
the answers above are wrong
2007-05-28 07:03:11
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answer #1
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answered by Robin 4
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Question 1: 5x²+25x
5x is a factor so take it outside the bracket:
Answer 1: 5x(x+5)
Question 2: 4x²-16
This is more tricky, there are no common factors apart from four. You may think that the answer is 4(x²-4) but this is known as the difference of two squares.
4x²-16 = (2x+4)(2x-4)
= 4x² - 8x + 8x -16
the x terms just cancel out leaving your answer
surely this is worth 10 points i spent ages on it
2007-05-29 07:17:34
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answer #2
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answered by motown 5
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5x^2 + 25x:
Factor out the common terms, in this case it would be 5x. to get:
5x(x+5)
There are no common terms remaining.
4x^2-16
Factor out the common terms again, in this case it would be 4, to get:
4(x^2-4). There are no common terms remaining but the expression x^2-4 is a 'difference of squares', meaning that is can be factored in to conjugate terms (a plus and a minus) so your answer here is:
4(x-2)(x+2)
2007-05-28 14:03:42
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answer #3
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answered by Anonymous
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5x^2 +25x. Notice there's an x in all terms; factor it out
= (x)(5x + 25) Notice both terms are divisible by 5 ; factor it out
= 5x(x + 5)
b. 4x^2-16 = 4(x^2 - 4) also you should know (x+2) (x-2) = (x^2 - 4)
so 4xsuared-16 = 4(x+2)(x-2)
2007-05-28 14:04:30
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answer #4
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answered by davec996 4
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Factorise, to take out common factors.
5 is common to both... 5(x+5x)
4 is common
4(x^2 - 4)
2007-05-28 14:00:39
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answer #5
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answered by Anonymous
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5x^2 + 25x
= 5x(x+5)
4x^2 - 16
= 4(x^2 - 4)
= 4(x-2)(x+2)
2007-05-28 21:00:51
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answer #6
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answered by Kemmy 6
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5X5 = 25 + 25 =50
(If I understand your question)
Then divide by prime numbers from 2 up, repeating any number until it fails to divide. Stop when you you reach 1
50/2 = 25
25/5 = 5
5/5 = 1
The factors are 2, 5, 5.
4 X 4 = 16 -16 = 0
There are no factors of zero!
2007-05-28 14:59:52
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answer #7
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answered by Anonymous
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Take out the common factor.
For the first one 5x is the common factor so it would be 5x(x+5)
The next one's common factor is 4x so it would be 4x(x-4)
Its all about finding the highest common factor and then dividing.
REMEMBER X CAN BE PART OF YOUR FACTORS!!!
2007-05-28 14:02:12
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answer #8
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answered by Lady Geologist 7
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5x squared = 5x^2, 4x squared = 4x^2
5x^2 + 25x = 5x(x + 5)
4x^2 -16 = 4(x^2 -4) = 4(x^2 - 2^2) = 4(x-2)(x+2)
2007-05-28 14:07:50
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answer #9
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answered by Anonymous
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5 x 5 is 25
25 +25 is 50
4 x 4 is 16
16 -16 is 0 (zero)
2007-05-28 17:03:56
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answer #10
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answered by yoshi 3
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