Question

I need help solving these problems​

Answer 1

QUESTION 1

`4 {p}^(2) = 2 * 2* {p} * p`

QUESTION 2

`39 {b}^(3) {c}^(2) = 3 * 13 * {b} * b * b* {c} * c`

QUESTION 3

`100 {x}^(3) y {z}^(2) = {2} * 2 * {5} * 5 * {x} * x * x* y * {z} * z`

QUESTION 4

`66 {d}^(4) = 2 * 3 * 11 * {d} * d * d * d`

QUESTION 5

`85 {x}^(2) {y}^(2) = 5 * 17 * {x} * x * {y} * y`

QUESTION 6

`18xy = 2 * {3}^(2) * x * y`

`36 {y}^(2) = {2}^(2) * {3}^(2) * {y}^(2)`

The greatest common factor is the product of the least powers of the common factors;

`GCF=2 * {3}^(2) * y`

`GCF=18y`

QUESTION 7

`25mn = {5}^(2) * m * n`

`21m = 3 * 7 * m`

`GCF=m`

QUESTION 8

`15a = 3 * 5 * a`

`28a {b}^(2) = {2}^(2) * 7 * a * {b}^(2)`

`GCF=a`

QUESTION 9

`24 {d}^(2) = {2}^(3) * 3 * {d}^(2)`

`30 {c}^(2) d = 2 * 3 * 5 * d`

`GCF=2 * 3 * d`

`GCF=6d`

QUESTION 10

`20gh = {2}^(2) * 5 * g * h`

`36 {g}^(2) {h}^(2) = {2}^(2) * {3}^(2) * {g}^(2) * {h}^(2)`

`GCF= {2}^(2) * g * h`

`GCF=4gh`

QUESTION 11

`17 {c}^(3) {d}^(2) = 17 * {c}^(3) * {d}^(2)`

`5 {c}^(2) {d}^(2) = 5 * {c}^(2) * {d}^(2)`

`GCF= {c}^(2) * {d}^(2)`

`GCF= {c}^(2){d}^(2)`