x^2-225
9x^2-196y^2
2x^2-50
4x^2-(y+z)^2
(x+y)^2-z^2
9y^2-(x-2)^2
PLEASE HELP ME!
2007-01-11 08:22:12 · 4 answers · asked by Eminator 4 in Science & Mathematics ➔ Mathematics
x^2-225 = (x+15)(x-15)
9x^2-196y^2 = (3x + 14)(3x - 14)
2x^2-50 = 2(x^2 - 25) = 2(x+5)(x-5)
4x^2-(y+z)^2 = (2x + (y+z))(2x - (y+z)) = (2x + y + z)(2x - y - z)
(x+y)^2-z^2 = ((x+y) + z)((x+y) - z) = (x + y + z)(x + y - z)
9y^2-(x-2)^2 = (3y + (x-2)) . (3y - (x-2)) = (3y + x -2)(3y - x + 2)
2007-01-11 08:30:28 · answer #1 · answered by Anonymous · 0⤊ 0⤋
At first glance, they all seem to be the difference of two squares, the general form of which is
a^2 - b^2
whose factors are
(a + b)(a - b)
x^2 - 225 = (x + 15)(x - 15)
2x^2 - 50 = 2(x^2 - 25) = 2(x + 5(x - 5)
4x^2 - (y + z)^2 = [2x + (y + z)][2x - (y + z)]
[2x + y + z][2x - y - z]
I'm sure you can now see the pattern
2007-01-11 16:33:47 · answer #2 · answered by kindricko 7 · 0⤊ 0⤋
(x + 15)(x - 15)
(3x + 16y)(3x - 16y)
and so on... When you have the difference of two squares, you can just make it the sum of the square roots times the difference.
2007-01-11 16:27:10 · answer #3 · answered by Dave 6 · 0⤊ 0⤋
gurl thats your homework
i got mine in geometry and u don see me complaining or asking for help.
try to do is urself or ask ur teacher.
i hate mine
he eats sucky cereal in class ewwww and his luch stinks
hope urs dosent
bye
2007-01-11 16:26:21 · answer #4 · answered by Anonymous · 1⤊ 1⤋