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3 votes
Factor 81x^2-49y^2 please show work.

User Heyheyhey
by
5.5k points

1 Answer

5 votes

Answer:

(9 x - 7 y) (9 x + 7 y)

Explanation:

Factor the following:

81 x^2 - 49 y^2

Hint: | Express 81 x^2 - 49 y^2 as a difference of squares.

81 x^2 - 49 y^2 = (9 x)^2 - (7 y)^2:

(9 x)^2 - (7 y)^2

Hint: | Factor the difference of two squares.

Factor the difference of two squares. (9 x)^2 - (7 y)^2 = (9 x - 7 y) (9 x + 7 y):

Answer: (9 x - 7 y) (9 x + 7 y)

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