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slava [35]
3 years ago
12

(4r^6 + 2r^5 - 8r^4) ÷ r^4​

Mathematics
1 answer:
Basile [38]3 years ago
7 0

The solution is 2(2r^2+r-4)

Explanation:

The given expression is \frac{4r^6+2r^5-8r^4}{r^4}

We need to determine the solution of the given expression.

The solution of the expression can be determined by dividing the terms.

Thus, we have,

\frac{4r^6+2r^5-8r^4}{r^4}

Let us factor out the common term 2r^4 from the numerator.

Thus, we get,

\frac{2r^4(2r^4+r-4)}{r^4}

Cancelling the common terms, we get,

2(2r^2+r-4)

Thus, the solution of the expression is 2(2r^2+r-4)

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But the correct justification is the Vertical Angles Theorem, because the angles are Vertically away from each other, or the angles are at opposite sides of each other. Which is when Vertical Angles Theorem is applied.
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