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butalik [34]
3 years ago
7

Simplify the equation

Mathematics
2 answers:
gtnhenbr [62]3 years ago
6 0

Answer:

option c is the correct.

Step-by-step explanation:

\frac{2x^4*6x^2}{3x^2}

by using the laws of exponent

a^m×a^n=a^m+n

12x^4+2/3x²

\frac{12x^4}{3x^3}

4x^4-3

4x³

likoan [24]3 years ago
3 0

Answer:

4x^3

Step-by-step explanation:

In the numerator, (top part) we have 2x^4 times 6x^2

2 times 6 is 12, and x^4 times x^2 is x^6.

Thus, in the top part, we have 12 times x^6.

In the bottom part we have 3 times x^3.

This is exactly the answer for d, but this is not a simplified answer.

Dividing 12 by 3 we have 4, and x^6/x^3 gives us x^(6-3) which is x^3.

Therefore, we have the correct answer: 4x^3

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The question is telling you that the length of the rectangle is 3 metres more than twice the width.

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<em>w= width</em>

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Because the length is 3 metres more than twice<em> </em>the width: <em>L= </em><em>2</em><em>w+</em><em>3</em>


They also tell you the perimeter is 48 metres.

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So the equation of the perimeter is:

<em>48= (2w+3)+(2w+3)+2w +2w</em>

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