What is the gcf of 16x^5y^2+40x^4y^3

Step-by-step explanation:

Since  

16

x

5

y

2

,

40

x

4

y

3

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for  

16

x

5

y

2

,

40

x

4

y

3

:

1. Find the GCF for the numerical part  

16

,

40

2. Find the GCF for the variable part  

x

5

,

y

2

,

x

4

,

y

3

3. Multiply the values together

Find the common factors for the numerical part:

16

,

40

The factors for  

16

are  

1

,

2

,

4

,

8

,

16

.

Tap for more steps...

1

,

2

,

4

,

8

,

16

The factors for  

40

are  

1

,

2

,

4

,

5

,

8

,

10

,

20

,

40

.

Tap for more steps...

1

,

2

,

4

,

5

,

8

,

10

,

20

,

40

List all the factors for  

16

,

40

to find the common factors.

16

:  

1

,

2

,

4

,

8

,

16

40

:  

1

,

2

,

4

,

5

,

8

,

10

,

20

,

40

The common factors for  

16

,

40

are  

1

,

2

,

4

,

8

.

1

,

2

,

4

,

8

The GCF for the numerical part is  

8

.

GCF

Numerical

=

8

Next, find the common factors for the variable part:

x

5

,

y

2

,

x

4

,

y

3

The factors for  

x

5

are  

x

⋅

x

⋅

x

⋅

x

⋅

x

.

x

⋅

x

⋅

x

⋅

x

⋅

x

The factors for  

y

2

are  

y

⋅

y

.

y

⋅

y

The factors for  

x

4

are  

x

⋅

x

⋅

x

⋅

x

.

x

⋅

x

⋅

x

⋅

x

The factors for  

y

3

are  

y

⋅

y

⋅

y

.

y

⋅

y

⋅

y

List all the factors for  

x

5

,

y

2

,

x

4

,

y

3

to find the common factors.

x

5

=

x

⋅

x

⋅

x

⋅

x

⋅

x

y

2

=

y

⋅

y

x

4

=

x

⋅

x

⋅

x

⋅

x

y

3

=

y

⋅

y

⋅

y

The common factors for the variables  

x

5

,

y

2

,

x

4

,

y

3

are  

x

⋅

x

⋅

x

⋅

x

⋅

y

⋅

y

.

x

⋅

x

⋅

x

⋅

x

⋅

y

⋅

y

The GCF for the variable part is  

x

4

y

2

.

GCF

Variable

=

x

4

y

2

Multiply the GCF of the numerical part  

8

and the GCF of the variable part  

x

4

y

2

.

8

x

4

y

2

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two