Factor the polynomial:
6x^2y^3+4xy^2+6x^3y^2​

Column\ 1: 4y^2Column 1:4y

2

Column\ 2: 6x^3+4xy+3yColumn 2:6x

3

+4xy+3y

Step-by-step explanation:

Given

24x^3y^2+16xy^3+12y^324x

3

y

2

+16xy

3

+12y

3

Required

Determine the product from the given column

24x^3y^2+16xy^3+12y^324x

3

y

2

+16xy

3

+12y

3

Factor our y^2y

2

24x^3y^2+16xy^3+12y^3 = y^2(24x^3 + 16xy + 12y)24x

3

y

2

+16xy

3

+12y

3

=y

2

(24x

3

+16xy+12y)

Factor out 4

24x^3y^2+16xy^3+12y^3 = 4y^2(6x^3 + 4xy + 3y)24x

3

y

2

+16xy

3

+12y

3

=4y

2

(6x

3

+4xy+3y)

So: the factors are:

4y^24y

2

and 6x^3 + 4xy + 3y6x

3

+4xy+3y

This gives:

Column\ 1: 4y^2Column 1:4y

2

Column\ 2: 6x^3+4xy+3yColumn 2:6x

3

+4xy+3y

answer: y = -12x + 108

step-by-step explanation: do (y = m x+b) formula.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15