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Over [174]
3 years ago
12

Simplify to create a equivalent expression.

Mathematics
2 answers:
Ratling [72]3 years ago
7 0

Answer:

\boxed{\bold{66k+9}}

Explanation:

Expand \bold{5\left(10k+1\right): \ 50k+5}

= \bold{50k+5+2\left(2+8k\right)}

Expand \bold{2\left(2+8k\right): \ 4+16k}

= \bold{50k+5+4+16k}

Simplify \bold{50k+5+4+16k: \ 66k+9}

= \bold{66k+9}

Mordancy.

zhenek [66]3 years ago
6 0

Answer:

66k + 9

Step-by-step explanation:

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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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Hope this helps :
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