Yup, I have a question for math. I dunno how to get the answer, although there is probably a simple explanation behind all this. If you do get the answer, please show working out. Thanks! :)
Which of the following is a factor of 75(x+y)^2 - 108?
A. x + y - 6
B. x + y + 6
C. 5x - 5y - 6
D. 5x + 5y + 6
2007-06-24 10:40:37 · 7 answers · asked by inkaminka67 1 in Science & Mathematics ➔ Mathematics
75(x+y)^2-108=3[25(x=y)^2-36]=3[5x+5y+6) (5x+5y-6)].
answer: option C&D answer
2007-06-24 10:48:30 · answer #1 · answered by Anonymous · 0⤊ 0⤋
the answer is D.5x +5y +6 :
75 (x+y)^2 - 108= 3 [25 (x+y)2 - 36 ]= 3[ (5( x+y))^2 -6 ^2]=
3(5x+5y-6)(5x+5y+6)
it's simple :)
2007-06-24 10:50:43 · answer #2 · answered by Anonymous · 0⤊ 0⤋
75 ( x + y )^2 - 108
= 3 [ ( 5x + 5y )^2 - 6^2 ]
= 3 ( 5x + 5y + 6 ) ( 5x + 5y - 6 )
Correct answer is D.
2007-06-24 11:41:51 · answer #3 · answered by Madhukar 7 · 0⤊ 0⤋
factor out a 3 to get 3(25(x+y)^2 - 36).
now it is the difference of two squares so you can factor it to be
3( (5(x+y)+6) (5(x+y)-6))
the center two factors can be expanded to be 5x+5y+6 and 5x+5y-6.
The answer is D 5x+5y-+6
2007-06-24 10:55:38 · answer #4 · answered by soccerstopper124 2 · 0⤊ 0⤋
3.[ 25.(x + y)² - 36 ]
3.[ (5(x + y) - 6).(5(x + y) + 6 ]
5x + 5y + 6 is a factor
ANSWER D
2007-06-28 10:14:38 · answer #5 · answered by Como 7 · 0⤊ 0⤋
Factor out a 3.
3(25(x+y)^2 - 36) = 3(5(x+y) + 6)(5(x+y) - 6)
so it is D.
2007-06-24 10:50:35 · answer #6 · answered by whoawhoa444 2 · 0⤊ 0⤋
5x^2 - 9x - 2 find two numbers that multiply to make -10 (5 * -2), and add to make -9. 1 and -10 5x^2 -10x + x -2 split up like this 5x^2 - 10x | + x - 2 factorise both sides 5x (x - 2) | + 1 (x - 2) (5x + 1) (x - 2) 9x^2 + 15x + 4 find two numbers that multiply to make 36 (9 * 4), and add to make 15 12 and 3 9x^2 + 12x + 3x + 4 split up like this 9x^2 + 12x | 3x + 4 factorise both sides 3x (3x + 4) | + 1 (3x + 4) (3x + 1) (3x + 4) you have to remember that when you factorise both parts of the equation, the two sets of brackets must contain the same thing. hope this helped.
2016-05-19 13:52:53 · answer #7 · answered by Anonymous · 0⤊ 0⤋