(1 x 2 ) (3 x 4)
solution 1x3 + ( 2x3 + 1x4) + 2 x 4
to your problem
x times 3x + (11 times 3x + -3 times x) + 11 times -3
3 x^2 (x squared) + 30x - 33
thanks for the "TEN POINTS"
2007-01-08 19:58:51
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answer #1
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answered by tomkat1528 5
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this is called expansion:
multiply x with 3x= 3x^2
then multiply x with -3= -3x
then multiply 11 w/ 3x=33x
then multiply 11 with -3= -33
lastly, add them all together:
3x^2 + (-3x) + 33x + (-33) = 3x^2 - 3x + 33x - 33
= 3x^2 + 30x - 33 (final answer)
and to kno how the question came abt, its called factorisation and the way u got ur answer is called expansion..
a few expansion rules that r really useful:
(a + b)^2 = (a)^2 + 2(a)(b) + (b)^2
(a - b)^2 = (a)^2 - 2(a)(b) + (b)^2
(a + b)(a - b) = (a)^2 + (b)^2
just substitute the respestive values into a and b... :D
2007-01-08 20:11:03
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answer #2
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answered by Losh 5
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I will not give anyone an answer to homework. It is not ethical for me to do so. However...
Have you learned of the FOIL technique? Can it be run backward?
What do you do with numbers that are alike?
What is the order of operations in Algebra?
I hope this helps somewhat and I expect you'd get an answer.
People need to work out problems on their own. You won't learn what you need to learn unless you "do the time." I had a Dad that would say things like:
How is such and such a word used in the sentence? Noun, adjective, pronoun?
Do you understand the word in the context in which it is used?
--if no,
Have you looked it up in the dictionary?
This was typically followed by a groan from myself but, you know what? I learned more than I ever thought I would. I gained sentence structure understanding, was prolific with understanding of the English language, and the spellings of so many neat words. Now, many people are unable to write a proper sentence and so many words are "text writing." Even on these pages...I understand that it is much faster, however, the uniqueness of the personality is lost when misspellings and shortcuts are taken.
I wish you the best in finding your answer...keep working at it!
I am around...and ten points!
Ebee
2007-01-08 20:06:40
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answer #3
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answered by Ebee 2
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you multiply each of the elements inside the first pair of parentheses with each of the elements in the second pair of parentheses. The general way to write this in mathematical language is this:
(a+b)(c+d) = ac+ad+bc+bd
in the case of your problem it becomes (I am using parentheses whenever needed for reading clarity only; they are not needed for the multiplication except where there is a negative number):
(x)(3x)+(x)(-3)+11(3x)+11(-3) =
3x^2 - 3x + 33x - 33 =
3x^2 + 30x - 33
in the above "x^2" means "x sqaure" or "x raised to the power of 2"
2007-01-08 20:02:06
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answer #4
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answered by Anonymous
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to expand the brackets you have to multiply everything in first bracket with everything in second bracket:
=(x+11)(3x-3) First u multiply the x by 3x then by -3
then u multiply 11 by 3x and -3
= (x * 3x -x*-3) + (11*3x - 11*-3)
= 3x^2 - 3x + 33x - 33
= 3x^2 + 30x -33
Good luck.
2007-01-08 20:13:26
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answer #5
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answered by Purple 2
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x + 11
3x -3
Multiply the 3x * x = 3x^ (3 x squared)
Multiply the 3x * 11= 33x
Multiply the -3 * x = -3x
Multiply the -3 * 11 = 33
Collect the terms:
3x^ + 33x -3x -33
Simplify:
3x^ -30x -33
2007-01-08 20:02:26
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answer #6
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answered by robert k 2
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(x + 11)(3x-3)
= 3x^2 - 3x + 33x - 33
= 3 ( x^2 -x +11x -11)
= 3 (x^2 + 10x -11)
ten points
2007-01-08 20:40:49
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answer #7
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answered by chocolate_gurl 2
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I would use the FOIL method.
FIRST: x * 3x = 3x^2
OUTSIDE: x * -3 = -3x
INSIDE: 11 * 3x = 33x
LAST: 11 * -3 = -33
3x^2 - 3x + 33x - 33
ANSWER: 3x^2 + 30x - 33
(the 3x^2 is 3 x squared)
2007-01-08 19:59:59
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answer #8
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answered by quietude61 3
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(x + 11)(3x - 3)
First
x * 3x = 3x^2
2nd
x * (-3) = -3x
3rd
11 * 3x = 33x
4th
11 * (-3) = -33
Finally we have
3x^2 - 3x +33x - 33
Combine like terms and get the answer
3x^2 +30x - 33
2007-01-08 19:55:08
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answer #9
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answered by Anonymous
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I got .... 3x raised to 2 +30x - 33 or 3x^2+30x-33
2007-01-09 00:29:16
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answer #10
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answered by Sapph 3
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