What is the missing term?
(2a + 5)2 = 4a2 + ___ + 25
A. 10a B. 7a
C. 20a D. 3a
C. 20a
The product of sum and difference of two terms is called
DOTS - Difference of Two Squares
What is the Volume of Cube with side length s?
Which special product pattern represents (a + b)(a - b) when simplified?
A. square of a binomial
B. difference of two squares
C. perfect square trinomial
D. sum of two squares
B. difference of two squares
This terminology is used as the result of squaring a binomial.
PST - Perfect Square Trinomial
When you multiply (2x - 10y) to itself, the answer will be 4x2 - 100y2. Is this statement TRUE or FALSE?
FALSE
Complete the pattern:
(𝑎−𝑏)3 = 𝑎3 _____ + 3𝑎𝑏2 − 𝑏3
− 3𝑎2𝑏
What is the coefficient of the middle term in the expansion of (x + 4)2?
A. 4 B. 8 C. 16 D. 2
B. 8
What binomial is the conjugate of (p + 3)?
(p - 3)
This is a pair of binomials (two‑term expressions) that look the same, except the sign between the terms is opposite.
CONJUGATES
In (10x – 6y)3, what is the cube of a and b?
100x3
-216y3
Multiplying (x+8) and (x−8) will result to x2 - 64, why is there no x-term in the result?
A. The middle terms are additive inverses, so they cancel each other out.
B. The constant terms cancel before multiplication.
C. The x2-term cancels with the constant term.
D. Multiplying a positive and a negative number always removes the x-term.
A. The middle terms are additive inverses, so they cancel each other out.
What is the product of (x + 5)(x + 5)?
x2 + 10x + 25
Multiplying: (1/3 + 4x) (1/3 - 4x) will result to:
1/9 - 16x2
Expand: (x + 5)3
x3 + 15x2 + 75x + 125
Which expression is the difference of two squares?
A. x2 – 2 B. x2 – 25
C. 2x2 – 25 D. x2 – x – 25
B. x2 – 25
Use special products to answer: (−3𝑎+7)2
9a2 – 42a + 49
Simplify: (4x + 5y)(4x – 5y)
16x2 – 25y2
Your classmate expands (a − 3)3 and writes: a3 − 9a2 + 27a − 27. Is the classmate’s solution accurate? If not, what is the correct expansion?
YES. IT'S ACCURATE
Using the sum and difference of two terms, what is the product when you multiply 101 by 99?
A. 999 B. 99,999
C. 9,999 D. 10,000
C. 9,999