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julsineya [31]
3 years ago
5

Match each expression written in standard form to the equivalent expression in factored form

Mathematics
1 answer:
den301095 [7]3 years ago
4 0

Answer:

1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)

4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)

Step-by-step explanation:

To obtain the answer to the question, first let us factorise each expression. This is illustrated below:

1. 15x^7y^2 + 4x^3

Common factor is x^3, therefore the expression is written as:

x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x

Common factor is 3x, therefore the expression is written as:

3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy

Common factor is 3xy, therefore the expression is written as:

3xy(5x^6y + 2)

4. 15x^7 + 10y^2

Common factor is 5, therefore the expression can be written as:

5(3x^7 + 2y^2)

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Answer:

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Step-by-step explanation:

To factor this, you must first take out the GCF (Greatest Common Factor), that 3x^2 and -147 both have. The terms only have 3 in common, which can be divided with

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However, we're still not done since 49 is a perfect square and (x^2 - 49) can be split into 2, like so:

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If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.

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