Square of a Binomial
What is the expansion of (x+2)2?
a. x2+4
b. x2+2x+4
c. x2+4x+4
d. x2+6x+2
C
The difference of squares formula can be applied to find the product of (x+4)(x−4) (x−4), which represents the product of the sum and difference of two terms. What is the result?
a. x2 - 16
b. x2−8x+16
c. x2 +16
d. x2+4x−16
A
Expand (x+y)3
a. x3 + 2x2y + 2xy2 + y3
b. x3 - 3x2y + 3xy2 - y3
c. x3 + xy + 2xy + y3
d. x3 + 3x2y + 3xy2 + y3
D
Tell if the expression follows the form
(n−3) ( n2 -3n +9)
No
82
64
Expand: (x + 3)2
x2 + 6x +9
Find the product: (2a+6)(2a−6) .
4a2−36
In the expansion of (2y−5)3 , what is the first term?
a. 2y3
b. 8y3
c. 60y2
d. 125
B
Tell if the expression follows the form
(n+5) ( n2 -5n +25)
Yes
142
196
Find the square of (3x−4)2
9x2 −24x + 16
Simplify(12m2 + 7 ) (12m2 ─ 7 )
144m4 - 49
Simplify(x+4)3
x3 +12x2+ 48x + 64
Simplify: (m+9)(m2−9m+81)
A. m3- 729 B. m3- 81
C. m3- 9 D. m3 + 729
D
(-8x)3
512x3
Simplify (7y−5)2)
49y2−70y+25
Simplify :(4x2y4 + 11 ) (4x2y4 ─ 11 )
16x4y8 ─ 121
(y-6)3
y3-18y2+108y-216
Find the product: (3x+7)(9x2−21x+49)
27x3+ 343
282
784
A square garden has its side increased by 9 meters. If the original side length is 3x meters, the new area of the garden can be expressed as (3x+9)2 . What is the expanded form of the area?
9x2 +54x +81
The side lengths of a rectangle are (5x3+13) and (5x3−13). Using the product of the sum and difference of two terms, what is the area of the rectangle?
25x6 - 169
(5x+2y)3
125x3 +150x2y + 60xy2+8y3
Simplify: (2m+11)(4m2−22m+121)
8m3+1331
(12x)3
1728x3