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New Member
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Mar 1, 2007, 05:15 PM
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ALGEBRA 1B simplify
[F]hi i need help on solving a algebra problem the problem is (4x-y)(4x+y) YOU HAVE TO SIMPLIFY IT..
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Junior Member
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Mar 1, 2007, 05:25 PM
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Surely you have notes on this, do you not?
Do you know how to simplify it?
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Junior Member
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Mar 1, 2007, 05:33 PM
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Guess it can't hurt, but here's how you simplify it like:
To simplify a (x-y)(x+y) type formula is:
x^2 - y^2
So to apply that you can simply square the first, then square the last and put a minus in. Simplified, it would be 16x^2 - y^2
Here's how - it'll look like a lot, but just follow along and you'll get it. You need to multiply each thing within the brackets with every number that's after it. So expanded it's:
= (4x * 4x) + (4x * y) + (-y * 4X) + (-y * y)
= 16x^2 + 4xy - 4xy - y^2
The 4xy's cancel each other out:
16x^2 - y^2
Hope that clears anything up.
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New Member
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Feb 13, 2009, 06:40 PM
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Originally Posted by SBowman
Guess it can't hurt, but here's how you simplify it like:
To simplify a (x-y)(x+y) type formula is:
x^2 - y^2
So to apply that you can simply square the first, then square the last and put a minus in. Simplified, it would be 16x^2 - y^2
Here's how - it'll look like alot, but just follow along and you'll get it. You need to multiply each thing within the brackets with every number that's after it. So expanded it's:
= (4x * 4x) + (4x * y) + (-y * 4X) + (-y * y)
= 16x^2 + 4xy - 4xy - y^2
The 4xy's cancel each other out:
16x^2 - y^2
Hope that clears anything up.
but why can't it solve the x and the y
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Full Member
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Feb 14, 2009, 06:25 AM
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Originally Posted by chris_daughtry9
but why can't it solve the x and the y
You only have one equation, but two unknowns. There is an infinite number of solutions to this equation. For example, pick a number (any number) for x and then solve for y. Then, pick another number for x and solve for y. You can do this all day. If you had another independent equation, you could solve the pair for one x and one y.
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New Member
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Jan 5, 2011, 08:17 AM
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(x - 2)(x + 3)
(x - 3)(x - 2)
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New Member
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Jan 5, 2012, 04:15 PM
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3^3x3^4
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New Member
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Jan 10, 2012, 04:31 PM
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Rewrite the second equation in the linear system in terms of y. -6x+7y=252 -6x+y=0 y=
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New Member
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Jan 10, 2012, 04:32 PM
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*****hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhh
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New Member
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Mar 16, 2012, 06:57 AM
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(4x-y)(4x+y)
use the distributive property (FOIL)
4 times 4=16 then you have two x's so it would be 16x^2 then 4x times y which is 4xy. Then from 4xy, you subtract 4xy (since -4xy is inside) then subtract -y so the answer would be 16x^2-y.
This's what I mean:
FOIL: (4x-y)(4x+y)
4x times 4x=16x^2
4x times y =4xy-4xy=0
So it would be 16x^2+0-y
Cancel out the 0 and you get 16x^2-y
I'm really good at math and hope this helps!
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New Member
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Mar 16, 2012, 07:01 AM
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I forgot there's 2 y's. The real answer really is 16x^2-y^2
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