$MathMaster logo$

MathMaster

Home
general
9p 10 3p 7p 9 3p simplify do not factorise

Question

(-9p)(-10+3p)+7p(-9+3p) simplify do not factorise

181

likes

905 views

Answer to a math question (-9p)(-10+3p)+7p(-9+3p) simplify do not factorise

$Expert avatar$

4.9

114 Answers

1. Apply the distributive property to expand $(-9p)(-10+3p)$:

(-9p)(-10) + (-9p)(3p) = 90p - 27p^2

2. Apply the distributive property to expand $7p(-9+3p)$:

7p(-9) + 7p(3p) = -63p + 21p^2

3. Combine like terms:

(-27p^2 + 21p^2) + (90p - 63p) = -6p^2 + 27p

4. Therefore, the answer is:

-6p^2 + 27p

Frequently asked questions (FAQs)

What is 0.875 as a percentage?

+

Question: Find the product of (-3 + 2i) and its complex conjugate.

+

Question: What is the maximum value of the function f(x) = x^3 - 6x^2 + 9x + 2 on the closed interval [1, 4]?

+

New questions in Mathematics

Add. 7/w²+18w+81 + 1/w²-81

A client did not advance L 10,000 for the rental of a parking area and it corresponds to 4 months, of which 2 months were consumed

Evaluate limx→∞tan−1(x) using that y=tan−1(x) exactly when x=tan(y) . (Hint: Both tan and tan−1 are continuous!)

A food delivery company charges on average a delivery fee of $5 per order (including food and shipping) and has monthly fixed costs of $600. If the average cost of each meal delivered that is revenue for the company is $10 and the company has a monthly profit of $800, how many orders must they deliver per month?

The mean temperature for july in H-town 73 degrees fahrenheit. Assuming that the distribution of temperature is normal what would the standart deviation have to be if 5% of the days in july have a temperature of at least 87 degrees?

A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?

The director of a company must transfer 6 people from the human resources department to the sales department, in order to sustain sales during the month of December. What is the probability that he will transfer only 2 of them?

There are 162 students enrolled in the basic mathematics course. If the number of women is 8 times the number of men, how many women are there in the basic mathematics course?

A merchant can sell 20 electric shavers a day at a price of 25 each, but he can sell 30 if he sets a price of 20 for each electric shaver. Determine the demand equation, assuming it is linear. Consider (P= price, X= quantity demanded)

A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 60% of the people get vaccinated. If a person is selected at random from this region, find the probability that he or she will contract the disease. (4 Points)

Use a pattern to prove that (-2)-(-3)=1

Next%C3%B3n%2C+we+are+given+a+series+of+Tri%C3%A1angles+Right%C3%A1angles+%3Cbr%2F%3Ey+in+each+one+of+them+ are+known+2%28two%29+measurements+of+sides.+%3Cbr%2F%3Elet's+determine+all+trigonom%C3%A9tric+ratios.

A bag has 4 green lollipops, 3 white lollipops, and 1 black lollipop. What is the probability of drawing a white lollipop?

effectiveness of fiscal and monetary policy under closed and open economies

Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.

A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.

The blood types of individuals in society are as follows: A: 30%, B: 25%, AB: 20%, 0: 25%. It is known that the rates of contracting a certain disease according to blood groups are as follows: A: 7%, B: 6%, AB: 7%, 0: 4%. Accordingly, if a person selected by chance is known to have this disease, what is the probability of having blood group O?

What is the percentage of nitrogen abundance in copper dinatrate Cu(NO3)2