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Subtract. x2+8x3x2+3x−x2+2x−63x2+3x

User Industrial
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2 Answers

2 votes

Answer:

Explanation:

I did the test.

Subtract. x2+8x3x2+3x−x2+2x−63x2+3x-example-1
User Hindi
by
7.4k points
4 votes

Answer:


(2)/(x)

Explanation:

Given expression:


(x^2+8x)/(3x^2+3x)-(x^2+2x-6)/(3x^2+3x)

As the two fractions have the same denominator, to subtract them, we simply subtract their numerators:


((x^2+8x)-(x^2+2x-6))/(3x^2+3x)

Distribute the negative sign:


(x^2+8x-x^2-2x+6)/(3x^2+3x)

Simplify the numerator:


(6x+6)/(3x^2+3x)

Now, factor both the numerator and the denominator by factoring out the common factor of each:


(6(x+1))/(3x(x+1))

Cancel the common factor (x + 1);


(6)/(3x)

Finally, divide the numerator and denominator by 3:


(2)/(x)

Subtract. x2+8x3x2+3x−x2+2x−63x2+3x-example-1
User Drakesinmoue
by
7.8k points