Answer:
- (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)
Step-by-step explanation:
<u><em>Use of formulas:</em></u>
- <em>a^2 - b^2 = (a + b)(a -b)</em>
- <em>a^3 + b^3 = (a + b)(a^2 - ab + b^2)</em>
- <em>a^3 - b^3 = (a - b)(a^2 + ab + b^2)</em>
<u>Given the expression: </u>
<u>Factoring 729</u>
<u>Factoring the expression </u>
- x^6 - 3^6 =
- (x^3)^2 - (3^3)^2 =
- (x^3 + 3^3)(x^3 - 3^3) =
- (x + 3)(x^2 -3x + 9)(x - 3)(x^2 + 3x + 9) =
- (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)
Answer: 2 terms 1:k 2:x
Step-by-step explanation:
Answer:
y=x-3
Step-by-step explanation:
To find slope, use m=y2-y1/x2-x1, using values of x and y from two different points. Once you have found slope, take another point and use the point-slope equation y-y1=m(x-x1) and substitute in slope for m and the point for x1 and y1. Isolate y by subtracting y1 from both sides.
Answer:
<em>The area of the shaded region is 3.</em>
Step-by-step explanation:
Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:
Where At is the area of each triangle.
We know AB=3 and BC=2, thus:
Simplifying:
Finally:
The area of the shaded region is 3.
Note the area of the shaded region is half the area of the rectangle.
