2y 4 +16y 3 2y 3 =start fraction, 2, y, cubed, divided by, 2, y, start superscript, 4, end superscript, plus, 16, y, cubed, end fraction, equals

Step-by-step explanation:

The problem is

To solve this problem let us simplify the denominator by taking the greatest common factor of it

∵ The denominator is

∵ The factors of 2 are 1, 2

∵ The factors of 16 are 1, 2, 4, 8, 16

∴ The common factors of 2 and 16 are 1 and 2

∵ The greatest one is 2

∴ The greatest common factor of 2 and 16 is 2

The greatest common factor of a variable is the variable with the smallest exponent

∵ The smallest exponent of and y³ is 3

∴ The greatest common factor of and y³ is y³

∴ The greatest common factor of and 16y³ is 2y³

Divide each term of the denominator by the greatest common factor

∵ ÷ 2y³ = y

∵ 16y³ ÷ 2y³ = 8

- The factorization of the denominator is 2y³(y + 8)

∴   = 2y³(y + 8)

Substitute it in the fraction

∴  

- Simplify the right hand side by dividing up and down by 2y³

∴  

step-by-step explanation:

answers available in this download

(pearson%2c%25202012)%2520bbs.pdf& usg=aovvaw1obmtxnfghfgxhx0urh_je

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.