Special Products

Special Products

Test your knowledge

Instructions

Please prepare a paper for scratch as this might get you rattle very quickly.

Solve the following problems and provide the correct answer.

Multiple Choice

What is the product of $$\left(4r-5s\right)$$ and $$\left(4r+5s\right)$$ ?

• $$4r^2-5s^2$$

• $$8r^2+10s^2$$

• $$16r^2-25s^2$$

• $$4r^2-20rs+5s^2$$

Multiple Choice

Which of the following expressions is a Perfect Square Trinomial?

• $$2p^2-14p+49$$

• $$2p^2-28p-49$$

• $$4p^2-14p-49$$

• $$4p^2-28p+49$$

Multiple Choice

What is the numerical coefficient of p³ on the product of given by the expression $$\left(p^2-2p+5\right)^2$$ ?

• -20

• -4

• 14

• 25

Multiple Choice

Which of the following expressions gives a special product of $$16m^2-36$$ ?

• $$\left(4m-6\right)\left(4m+6\right)$$

• $$\left(8m+6\right)\left(8m-6\right)$$

• $$\left(8m-18\right)\left(8m+18\right)$$

• $$\left(16m-6\right)\left(16m+6\right)$$

Multiple Choice

Determine the numerical coefficient of $$u$$ with the given product of $$\left(3u+5\right)^3$$ .

• 15

• 75

• 225

• 2025

Multiple Choice

What is the value of k in the expression $$\left(3x-10\right)^2=9x^2+kx+100$$ ?

• -60

• -30

• 30

• 60

Multiple Choice

What is $$a+b$$ when $$\left(ay+b\right)^3=8y^3-72y^2+216y-216$$ ?

• -4

• -2

• 2

• 4

Multiple Choice

How many terms is the expanded form of $$\left(a+b\right)^7$$ have?

• 6

• 7

• 8

• 9

Multiple Choice

What is the numerical coefficient of $$x^4$$ of the expanded form of $$\left(2x^2-3\right)^4$$ ?

• -24

• -48

• 36

• 216

Multiple Choice

What is the sum of the numerical coefficients of the expanded form of $$\left(y-3\right)^5$$ ?

• -96

• -32

• 32

• 96