Question

Factor 3x^2y^2 -xy^2-2y^2
Show your work

Answer 1

you know that ^ means exponent right
not multiply

Answer 2

@nincompoop

Answer 3

Yeah I need help solving it with steps

Answer 4

Take out the GCF y^2

Answer 5

\(\bf 3x^2y^2 -xy^2-2y^2\implies 3{\color{blue}{ x}}x{\color{blue}{ yy}}-x{\color{blue}{ yy}}-2{\color{blue}{ yy}}\) take the common factor

Answer 6

I'm really confused

Answer 7

hmm
\(\bf 3x^2y^2 -xy^2-2y^2\implies 3{x}x{\color{blue}{ yy}}-x{\color{blue}{ yy}}-2{\color{blue}{ yy}}\) rather

Answer 8

I don't even know where to start

Answer 9

y^2(3x^2 - x - 2)

Answer 10

Yes could you please show me the steps

Answer 11

\[\mathrm{Factor}\:-2y^2+3x^2y^2-xy^2:\quad y^2\left(x-1\right)\left(3x+2\right)\]

Answer 12

hmm do you know how to take a common factor?

Answer 13

Nope

Answer 14

well.. then you may want to cover that firstly then

Answer 15

3x^2y^2 -xy^2-2y^2
take out y^2
\[=y^2\left(3x^2-x-2\right)\]
\[\mathrm{Factor}\:3x^2-x-2:\quad \left(x-1\right)\left(3x+2\right)\]
\[=y^2\left(x-1\right)\left(3x+2\right)\]

Answer 16

3x^2y^2-xy^2-2y^2
-2y^2 +3x^2y^2-xy^2

Answer 17

I just want to put this all together so it won't be difficult for you for your reference:
Pulling out like terms :

5.1 Pull out like factors :

3x2y2 - xy2 - 2y2 = y2 • (3x2 - x - 2)

Trying to factor by splitting the middle term

5.2 Factoring 3x2 - x - 2

The first term is, 3x2 its coefficient is 3 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 3 • -2 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -1 .

-6 + 1 = -5
-3 + 2 = -1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 2
3x2 - 3x + 2x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-1)
Add up the last 2 terms, pulling out common factors :
2 • (x-1)
Step-5 : Add up the four terms of step 4 :
(3x+2) • (x-1)
Which is the desired factorization

Answer 18

Thank you so much! Could you help on another

Answer 19

Factor x^2+6x+9

Answer 20

\[\mathrm{Factor}\:x^2+6x+9:\quad \left(x+3\right)^2\]

Answer 21

1 Q per thread pls.

Answer 22

& Try tipping those who help you out by rewarding them w/ a medal by clicking that 'best response' button.

Answer 23

Ok thanks so muc!

Answer 24

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Answer 25

@DecentNabeel x^2 +3x +3x +9

Answer 26

What's after

Answer 27

\[\mathrm{Simplify}\:x^2+3x+3x+9:\quad x^2+6x+9\]

Answer 28

(X+3)(x+3)

Answer 29

\[\mathrm{Simplify}\:\left(x+3\right)\left(x+3\right):\quad \left(x+3\right)^2\]

Answer 30

Happy @kayleeq :)

Answer 31

Wait what happened I'm sorry

Answer 32

Factor x^2 -25

Answer 33

(x-5)(x+5)

Answer 34

Is that all the steps

Answer 35

Is a common factor for all of the x^2

Answer 36

x^2 -25
this formula
a^2-b^2=(a-b)(a+b)
x^2-5^2=(x-5)(x+5)

Answer 37

Is that all of the steps though I'm so confused

Answer 38

tell me why confused

Answer 39

\[x^2-25=\left(x+5\right)\left(x-5\right)\]

Answer 40

Is that the steps I don't know how to do this I've been at it for forever

Answer 41

you know
a^2-b^2=(a-b)(a+b)

Answer 42

do you know this

Answer 43

What are the steps can you please show me with the actual numbers please yes but is am so conus fed with this question please help me

Answer 44

x^2 -25
use this formula:a^2-b^2=(a-b)(a+b):
25=5^2
x^2-5^2=(x-5)(x+5)

Answer 45

MATHEMATICAL FORMULAE
Algebra
1. (a + b)2 = a2 + 2ab + b2; a2 + b2 = (a + b)2 − 2ab
2. (a − b)2 = a2 − 2ab + b2; a2 + b2 = (a − b)2 + 2ab
3. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
4. (a + b)3 = a3 + b3 + 3ab(a + b); a3 + b3 = (a + b)3 − 3ab(a + b)
5. (a − b)3 = a3 − b3 − 3ab(a − b); a3 − b3 = (a − b)3 + 3ab(a − b)
6. a2 − b2 = (a + b)(a − b)

Answer 46

Oooooooooo ok I got that see I just needed some explaination now only the second and third polynomial share a common factor is that correct it is x^2

Answer 47

yes

Answer 48

Ok thank you sooooooooo much

Answer 49

welcome @kayleeq