Square of Binomial
This terminology is used as the result of squaring a binomial.
PST - Perfect Square Trinomial
The product of sum and difference of two terms is called
DOTS - Difference of Two Squares
What is the product of
(a2 + 2ab + b2) (a + b)?
a3 + 3a2b + 3ab2 + b3
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
What is the missing term?
(18p²q + 5r³)²
= 324p⁴q² + _____ + 25r⁶
A. 90p4q2r6 B. 180p4q2r6
C. 90p²qr³ D. 180p²qr³
D. 180p²qr³
What binomial is the conjugate of (p + 3)?
(p - 3)
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
When you multiply (20x³ + 13y²) to itself, the answer will be 400x6 - 169y4. Is this statement TRUE or FALSE?
FALSE
This is a pair of binomials (two‑term expressions) that look the same, except the sign between the terms is opposite.
CONJUGATE
In (5x – 11y2)3, what is the cube of b?
-1331y6
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 result when
(11m²n³ − 6p²) is squared?
121m⁴n⁶ − 132m²n³p² + 36p⁴
A rectangular stage design has dimensions
(1/3m3 + 4n) meters and (1/3m3 - 4n) meters.
Find the area of the stage design.
1/9m6 - 16n2 sq. meters
Your classmate expands (a − 2)3 and writes:
a3– 6a2 + 12a – 8.
Is the classmate’s solution accurate? YES or NO? If not, what is the correct expansion?
YES. IT'S ACCURATE
Which expression is the difference of two squares?
A. x2 – 2 B. x2 – 25
C. 2x2 – 25 D. x2 – x – 25
B. x2 – 25
A square community garden in Barangay Iyam has a side length of (−13a2+20b3)2 meters. Find the area of the garden.
169a4 – 520a2b3 + 400b6 sq.meters
Simplify:
(16x4 + 25y5)(16x4 – 25y5)
256x8 – 625y10
A cube-shaped gift box has side length (4m - 4) centimeters. Write an expression for the volume of the gift box.
64m3 - 192m2 + 192m - 64 cm3
Using the sum and difference of two terms, what is the product when you multiply 203 by 197?
A. 39,991 C. 40,001
B. 39,999 D. 40,009
A. 39,991