AnswersFL-1200700-Mathematics for College Algebra MISFactoring Polynomials: Difference of Squares

Factoring Polynomials: Difference of Squares Answers

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3

Which polynomial can be simplified to a difference of squares?

A
10a2 + 3a – 3a – 16
B
16a2 – 4a + 4a – 1
C
25a2 + 6a – 6a + 36
D
24a2 – 9a + 9a + 4
5

Which product is equivalent to 25x2 – 16?

A
(5x − 4)(5x + 4)
B
(5x + 8)(5x − 8)
C
(5x − 4)(5x − 4)
D
(5x − 8)(5x − 8)
6

Which expression is equivalent to 100 n2 − 1?

A
(10n)2 − (1)2
B
(10n2)2 − (1)2
C
(50n)2 − (1)2
D
(50n2)2 − (1)2
11

Which product is equivalent to 25x2 – 16?

A
(5x − 4)(5x + 4)
B
(5x + 8)(5x − 8)
C
(5x − 4)(5x − 4)
D
(5x − 8)(5x − 8)
12

Which expressions are equivalent to 25x4 −64? Select three options.25x4 + 40x − 40x − 6425x4 + 13x − 13x − 64(5x2 + 8)(5x2 − 8)(x2 + 13)(x2 – 13)(5x2 – 8)2

A
25x4 + 40x − 40x − 64
B
25x4 + 13x − 13x − 64
C
(5x2 + 8)(5x2 − 8)
D
(x2 + 13)(x2 – 13)
E
(5x2 – 8)2
13

Which expression is a difference of squares with a factor of 2x + 5?

A
4x2 + 10
B
4x2 – 10
C
4x2 + 25
D
4x2 – 25

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