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?
(18pq + 5r)²
= 324p2q2 + _____ + 25r2
A. 90pqr B. 180p2q2r2
C. 90p2q2r2 D. 180pqr
D. 180pqr
What is
(5x² + 3)(5x² − 3)?
25x⁴ − 9
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
Conjugate is a pair of binomials (two‑term expressions) that look the same, except the sign between the terms is opposite. What binomial is the conjugate of (p + 3)?
(p - 3)
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
(11mn − 6p) is squared?
121m2n2 − 132mnp + 36p2
A rectangular stage design has dimensions
(3m3 + 4n) meters and (3m3 - 4n) meters.
Find the area of the stage design.
9m6 - 16n2
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 (-3a+2b)2 meters. Find the area of the garden.
9a2 – 12ab + 4b2 sq.meters
Simplify:
(6x4 + 5y5)(6x4 – 5y5)
36x8 – 25y10
A cube-shaped gift box has side length (m - 4) centimeters. Write an expression for the volume of the gift box.
m3 - 12m2 + 48m - 64
A rectangular tarpaulin for the school covered court has a length of (6x² + 13) meters and a width of (6x² − 13) meters. What is its area?
A. 36x⁴ − 169 sq. meters
B. 12x4 − 26 sq. meters
C. 36x⁴ −156x2 + 169 sq. meters
D. 36x⁴ −78x2 + 169 sq. meters
A. 36x⁴ − 169 sq. meters