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6x + 18 → 6(x + 3)

6 + 6x → 6(1 + x)

6(x - 1) → 6x - 6

Step-by-step explanation:

What you do is use the distributive property on them. let's take the first one as an example. 6x + 18 = 6(x+3)

The distributive property bascially means that you multiply whatever number outside the parenthesis by what's inside of the parenthesis.

SO 6 · x = 6x and 6 · 3 = 18, all together, that equals 6x + 18. See how I distributed the 6 to both the number and the variable?

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.