Multiplying
Simplify: (2a2b)(-11ab)
-22a3b2
Find the sum: 12p2 + 8p2
20p2
A homeowner wants to expand a square patio. The original patio is a square with side length x feet. They want to add a border of uniform width 2 feet on all sides. What is the new side length?
x+4
A paint factory starts production with 2x+120 liters of base paint. Each production run consumes 1x+5 liters. How much will be left after one production run?
x+115
Simplify: (-2xy)4
16x4y4
(4w-5) - (9w+2)
5w-7
The garden has dimensions of length (3x+5) feet and width(2x+1) feet. What is the area?
6x2+13x+5
A pharmacy begins inventory with 5.6x2−20x+200 milligrams of a medication in stock. A hospital order requires 1.5x2+11x milligrams. How much is left after the hospital order?
4.1x2-31x+200
-w2(w-15)
-w3+15w2
(6x2+x+7) + (3x2+1)
9x2+x+8
A contractor builds a rectangular building with dimensions (4x−1) meters by (3x+2) meters. What is the perimeter of the building?
14x+2
A construction supply company receives concrete deliveries from two plants. Plant A delivers 4.7x2−22x+110 cubic meters, and Plant B delivers 2.8x2+16x+50 cubic meters.
What polynomial represents the total cubic meters of concrete received from both plants?
7.5x2-6x+160
(4k2jh3)2
16k4j2h6
(2k2-k+3) - (5k2+3k-7)
-3k2-4k+10
A company manufactures storage boxes. The base of the box has dimensions (x+2) feet by (x+3) feet. The height of the box is (2x+1) feet. Find the Volume.
2x3+11x2+17x+6
A chemical company produces materials at two production sites. Site A produces 5.1x2−16x+75 kilograms per batch, and Site B produces 3.2x2+10x+40 kilograms per batch.
What polynomial represents the total kilograms of material produced per batch from both sites combined?
8.3x2-6x+115
Simplify: -8y3(7y2 - 4y - 1)
-56y5 + 32y4 + 8y3
(2g4-3g+9)+(-g3+12g)
2g4 - g3 + 9g + 9
A landscaper is designing two rectangular garden beds. The first garden has dimensions of length (3x+5)feet and width (2x+1) feet. The second garden has dimensions of length (2x+3)feet and width (2x+1)feet. What is the difference in perimiters
2x+4 feet
A hair salon operates two locations. The profit from the downtown salon is modeled by f(x)=−0.06x2+9.2x+42 dollars, and the profit from the airport salon is modeled by g(x)=−0.03x2+6.5x+31 dollars, where x represents the number of haircuts performed.
If an equal number of haircuts are performed at both locations, which polynomial function models the total profit for the salon?
-0.09x2+15.7x+73