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Factoring Differences of Squares

1.)
Which binomial is a difference of squares?
14x^2-81
16x^2+81
25x^2-81
36x^2+81

2.)
Factor.
25m^6-16

3.)
Factor.
49a^2b^16-1

4.)
What is the completed factored form of 2x^2-50?

5.)
Jeremiah is factoring 0.64t^24-9 by using the rule a^2-b^2=(a+b)(a-b)
Which expression will he use for the value of a?

2 Answers

1 vote

Answer:

1) the answer is 25x^2 - 81 because it is equal to: (5x-9)(5x+9)

2) the factor for this question is: (5m^3 - 4)(5m^3 + 4)

3) the factor for this question is: (7a^b^8 -1)(7a^b^8 +1)

4)the completed factored form is: (2x + 10)(x-5)

you should say: 2x^2-50 is equal to: 2x^2 +0x - 50

and then: 2x^2 -10x +10x - 50

then you solve

5) the expression for a will be: 0.8t^12

User Farris
by
8.5k points
5 votes
1) the answer is 25x^2 - 81 because it is equal to: (5x-9)(5x+9)

2) the factor for this question is: (5m^3 - 4)(5m^3 + 4)

3) the factor for this question is: (7a^b^8 -1)(7a^b^8 +1)

4)the completed factored form is: (2x + 10)(x-5)
you should say: 2x^2-50 is equal to: 2x^2 +0x - 50
and then: 2x^2 -10x +10x - 50
then you will solve it :))

5) the expression for a will be: 0.8t^12 :)))

i hope this is helpful
have a nice day
User Sasi V
by
8.0k points