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Trava [24]
3 years ago
6

I NEED HELP!!

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
5 0

In decimal numbers we have this rule :

If we multiply a decimal number by 10, 100, 1000... , then we move the decimal point by 1, 2 ,3 ,.... digits to the right side. It depends on the number of zeros .

If we divide a decimal number by 10, 100, 1000... , then we move the decimal point by 1, 2 ,3 ,.... digits to the left side. It depends on the number of zeros .

So in multiplication we move to the right side.

Multiplied by 10 - moves one place to the right side

Multiplied by 100 - moves two places to the right side.

So answer is fourth option when we multiply decimal number by 100, it will move two spaces to the right side.

Gre4nikov [31]3 years ago
3 0

In decimal numbers we have this rule :

If we multiply a decimal number by 10, 100, 1000... , then we move the decimal point by 1, 2 ,3 ,.... digits to the right side. It depends on the number of zeros .

If we divide a decimal number by 10, 100, 1000... , then we move the decimal point by 1, 2 ,3 ,.... digits to the left side. It depends on the number of zeros .

So in multiplication we move to the right side.

Multiplied by 10 - moves one place to the right side

Multiplied by 100 - moves two places to the right side.

So answer is fourth option when we multiply decimal number by 100, it will move two spaces to the right side.

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The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

<h3>What is factored form?</h3>

The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.

We need to write the given expression 9x^4y-6x^3y^2 + 3x^2y^3 in the factored form, therefore, we will take the common terms out of the given expression,

1. Taking 3 as the common term, we will get,

9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)

2. Taking x² as the common term

= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\

3. Taking y as the common term,

= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\

Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

Learn more about Factored Form:

brainly.com/question/25094938

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