find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression. ​

1. The greatest common monomial factor is xy

2. xy(6 + 2y² + 3x²)

Step-by-step explanation:

6xy + 2xy³+ 3x³y

1. Determination of the greatest common monomial (GCM) factor.

6xy + 2xy³+ 3x³y

6xy => 2 × 3 × x × y

2xy³ = 2 × x × y × y × y

3x³y = 3 × x × x × x × y

GCM => xy

2. Rewrite the expression

6xy + 2xy³+ 3x³y

GCM => xy

6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

5050 i think

step-by-step explanation: