61.3k views
2 votes
Please help me factor.
49 - 9x²

2 Answers

2 votes

Answer: -(3x - 7)(3x + 7)

Explanation:

1. Rewrite the formula:

-
9x^(2) + 49

2. Factor -1 out of
-9x^(2) + 49


-(9x^(2) - 49)

3.
9x^(2) - 49 = (3x)^(2) - 7^(2)


((3x)^(2) - 7^(2))

4. Factor the difference of two squares.
(3x)^(2) - 7^(2) =


(3x-7)(3x+7)

5. Add back negative:

Answer:
-(3x-7)(3x+7)

User Xaverras
by
8.1k points
3 votes

a

2

b

2

=

(

a

+

b

)

(

a

b

)

where

a

=

7

and

b

=

3

x

.

(

7

+

3

x

)

(

7

3

x

)

User Kaljak
by
8.2k points

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