4 years ago

Simplify completely 10x^6y^3+20x^3y^2

Mathematics

1 answer:

Sloan [31]4 years ago

3 0

10x^6y^3+20x^3y^2 = 10x^3y^2(x^3y + 2)

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Solve. M/9 = 8 A m = 1.1 B m = 17 C m = 27 D m = 72

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Here are descriptions for how two dot patterns are growing,

Arisa [49]

The steps in the patterns A and B form a sequence

The attached diagram represents dots in patterns A and B

<h3>How to draw the diagrams</h3>

For pattern A, we have:

Step 2 = 10 dots

Increment of 3 dots in each step

This means that:

Step 0 = 4 dots

Step 1 = 7 dots

Step 2 = 10 dots

Step 3 = 13 dots

For pattern A, we have the following rule

$T_n =2n^2 + 1$

When n = 0 to 3, we have:

$T_0 =2(0)^2 + 1 =1$

Step 0 = 1 dot

$T_1 =2(1)^2 + 1 =3$

Step 1 = 3 dots

$T_2 =2(2)^2 + 1 =9$

Step 2 = 9 dots

$T_3 =2(3)^2 + 1 =19$

Step 3 = 19 dots

Next, we draw the diagrams of both patterns (see attachment)