AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVExponential Decay Functions

Multiplying Polynomials and Simplifying Expressions Answers

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Which shows a perfect square trinomial?

A
50 y squared minus 4 x squared
Option A
B
100 minus 36 x squared y squared
Option B
C
16 x squared + 24 x y + 9 y squared
Option C
D
49 x squared minus 70 x y + 10 y squared
Option D
2
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What is the product?

Question illustration
A
15 r squared + 8
Option A
B
15 r squared minus 8
Option B
C
15 r squared + 14 r minus 8
Option C
D
15 r squared minus 14 r minus 8
Option D
3

What is the product?

Question illustration
A
negative 12 s squared minus 2 t squared
Option A
B
negative 12 s squared + 2 t squared
Option B
C
negative 12 s squared + 8 s t minus 2 t squared
Option C
D
negative 12 s squared + 11 s t minus 2 t squared
Option D
4

What is the product?

Question illustration
A
2 x squared minus 4
Option A
B
2 x squared minus 8
Option B
C
2 x squared minus 4 x
Option C
D
2 x squared minus 8 x
Option D
5

Which shows a difference of squares?

A
10 y squared minus 4 x squared
Option A
B
16 y squared minus x squared
Option B
C
8 x squared minus 40 x + 25
Option C
D
64 x squared minus 48 x + 9
Option D
6

Which products result in a perfect square trinomial? Select three options.

Question illustration
A
(negative x + 9)(negative x minus 9)
Option A
B
(x y + x)(x y + x)
Option B
C
(2 x minus 3)(negative 3 + 2 x)
Option C
D
(16 minus x squared)(x squared minus 16)
Option D
E
(4 y squared + 25)(25 + 4 y squared)
Option E
7

The table represents the multiplication of two binomials.

Question illustration
A
negative 3 x
Option A
B
negative 3 x squared
Option B
C
negative 5 x
Option C
D
negative 5 x squared
Option D
8

What is the product?

Question illustration
A
18 x squared minus 45 x
Option A
B
negative 18 x squared minus 45 x
Option B
C
negative 18 x minus 45 x
Option C
D
18 x minus 45 x
Option D
9

Kylie explained that will result in a difference of squares because . Which statement best describes Kylie’s explanation?

Question illustration
A
Kylie is correct.
B
Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
C
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
D
Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.
10

Which products result in a difference of squares? Select three options.

Question illustration
A
(x minus y)(y minus x)
Option A
B
(6 minus y)(6 minus y)
Option B
C
(3 + x z)(negative 3 + x z)
Option C
D
(y squared minus x y)(y squared + x y)
Option D
E
(64 y squared + x squared)(negative x squared + 64 y squared)
Option E

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