Answer: 74
Step-by-step explanation:
Answer:
Leave the first fraction in the equation alone.
Turn the division sign into a multiplication sign.
Flip the second fraction over (find its reciprocal).
Multiply the numerators (top numbers) of the two fractions together. ...
Multiply the denominators (bottom numbers) of the two fractions together.
Step-by-step explanation:
1/2
------
5/8
1/2
----
8/5
8/10=4/5
This involves a quick application of the power rule, which is

.
First, it is helpful to rewrite

as

. Remember that these are equivalent forms, but the latter is easier to use with the power rule.
We apply the power rule and simply:
<span><span>(<span>6−d</span>)</span><span>(<span><span><span>d^2</span>−5</span>+<span>3d</span></span>)</span></span><span>=<span><span>(<span>6+<span>−d</span></span>)</span><span>(<span><span><span>d^2</span>+<span>−5</span></span>+<span>3d</span></span>)</span></span></span><span>=<span><span><span><span><span><span><span>(6)</span><span>(<span>d^2</span>)</span></span>+<span><span>(6)</span><span>(<span>−5</span>)</span></span></span>+<span><span>(6)</span><span>(<span>3d</span>)</span></span></span>+<span><span>(<span>−d</span>)</span><span>(<span>d^2</span>)</span></span></span>+<span><span>(<span>−d</span>)</span><span>(<span>−5</span>)</span></span></span>+<span><span>(<span>−d</span>)</span><span>(<span>3d</span>)</span></span></span></span><span>=<span><span><span><span><span><span>6<span>d^2</span></span>−30</span>+<span>18d</span></span>−<span>d^3</span></span>+<span>5d</span></span>−<span>3<span>d^2</span></span></span></span><span>
=<span><span><span><span> −<span>d3^</span></span>+<span>3<span>d^2</span></span></span>+<span>23d</span></span>−<span>30</span></span></span>
<span>
</span>
The factoring method which can be considered for such a cubic tetranomial expression is; factor by grouping sum of cubes.
<h3>What factoring method can be considered for the polynomial?</h3>
It follows from the task content that the order of the Polynomial is 3 and the polynomial is a tetranomial as it contains 4 terms.
On this note, since 3x³ is not a perfect cube, it follows that the best factorisation method for such a polynomial is; factor by grouping sum of cubes.
Read more on factorisation;
brainly.com/question/25829061
#SPJ4