### Factorize completely $$x^{2} + 2xy + y^{2} + 3x + 3y - 18$$.

Factorize completely $$x^{2} + 2xy + y^{2} + 3x + 3y - 18$$.

• A. (x+y+6)(x+y-3)
• B. (x-y-6)(x-y+3)
• C. (x-y+6)(x-y-3)
• D. (x+y-6)(x+y+3)
##### Explanation
No official explanation is available for this question at this time. Please check contributions posted by others below. If you can provide an explanation to help other student learn, please click here

#### Contributions (20)

Gerry69
2 years ago
how about expanding each option to get the equation. consequently whichever option gives the given equation is the right answer. #capeesh
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if u expand option a which is (a)(x+y+6) (b)(x+y-3)by multiplyin both dat is bracket a to bracket b

u will get x^2+xy-3x+xy+y^2-3y+6x+6y-18

then collect like terms u get

x^2+2xy+y2+3x+3y-18 which was d question u were u given 2 factorize tanks
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6 years ago
nawa o..but if this question is not a multiple choice question..wat will u guys do to get the answer?
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lucybaby2008
7 years ago
Expand option A and collect d like terms, u get d question given.
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philip78
5 years ago
D ans is A
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Ifechuks1
3 years ago
Here is an explanation:

TO DIVIDE BY FIRST CONVERTING FROM BASE 6 TO BASE 10 2434base6 to base10 is 2x6^3 + 4x6^2 + 3x6^1 + 4x6^0=

432 + 144 + 18 + 4 =598.

42 base6 to base 10 is 4x6^1 + 2x6^0= 24 + 2= 26.

598/26= 23.

back to base 6= 23/6=2 R 5. 2/6 = 0 R 2. THE FINAL ANSWER IS 25 BASE6.the direct division will be coming soon. thank you.
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berber
5 years ago
X^2 2xy y^2 3x 3y-18=(x y)^2 3(x y)-18

let (x y) be p,and subtitute to the equ.

= p^2 3p-18

=p^2 6p-3p-18

=p(p 6)-3(p 6)

=(p-3)(p 6)

recall: p=x y,sutitute to the answer

=(x y-3)(x y 6).
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• berber: + is at the empty space. It is due to site error
5 years ago
• Shozlee: Your work is cool! But what of the '2XY' in the equation ?
5 years ago
• berber: X^2+2xy+y^2=(x+y)^2
5 years ago
• Shozlee: Good! ! Bravo!!
5 years ago
• abidesmondfalex: 2 factorise dis expression, first look at a number(constant) i.e -18.wat r its factors .i.e 2,3 6 9 .but in d option u have 3 and 6. * and since is -18 , always give d smaller number - nd biger + i. e -3 and +6. ",!!! 6 multiply by -3 = -18.

den go 2 d options now n u can find ur answer by multiplyin de brackets were u find 6 in d first bracket followed by-3 .

i.e (x+y+6)(x+y-3)=x2+xy-3x+xy+y2-3y+6x+6y-18.....

strike out by way of collectin like terms. 2 have

x2+2xy+y2+3x+3y -18....

which d given exxpression.

NOTE:,make u don't change d signs of d cofficents.
5 years ago
• abidesmondfalex: note: make sure d positve number comes first and also u must not change sins be4 d cofficents.
5 years ago
• berber: U are just play. All what i did is correct
5 years ago
• mohammedalfa04@gmail.com: YES! Option "A" is the correct answer oo
4 years ago
• Favour: Thanks a lot I really appreciate
11 months ago
• Hannat001: pls,can someone explain better
2 months ago
funthornia
4 years ago
gat ntin 2 xay
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dona de moen
7 years ago
In my own understand i wil say d answer is D when u factorize mutiple your answer it were give u back d same as in d queation. Option D is (x y-6)(x y 3) let mutiple it back now it wil give u something like dis X2 xy 3x xy Y2 3y-18 collect d like terms which wil giv now as X2 2xy Y2 3x 3y-18. Thank u
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samiefresh
6 years ago
samie fully says a is correct. guys remmbr if u choose option d,u gt 3x-6x + 3y-6y wch wil gv x^2+ 2xy+y^2-3x-3y-18 wch iz nt in line wt d questn.
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