Divide 63(p4 + 5p3 – 24p2 ) by 9p(p + 8)

We have,

\frac{63(p^4 + 5p^3 - 24p^2)}{ 9p(p + 8)}

=\frac{63p^2(p^2 + 5p - 24)}{9p(p + 8}

=\frac{7p(p^2 + 5p - 24)}{(p + 8)}

Splitting the middle term, we get

=\frac{7p(p^2 + 8p-3p - 24)}{(p + 8)}

=7p[\frac{p(p+8)-3(p+8)}{(p+8)} ]

=7p[\frac{(p+8)(p-3)}{p+8}]

=7p(p-3)

Hence the solution is 7p(p-3).

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

answer: you need the equation in the question so i can answer it

step-by-step explanation: