Question

find the perfect square of a^2-6ab-9b^2​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

a

2

−

6

a

b

+

9

b

2

Rewrite

9

b

2

as

(

3

b

)

2

.

a

2

−

6

a

b

+

(

3

b

)

2

Check the middle term by multiplying

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

a

⋅

(

−

3

b

)

Simplify.

2

a

b

=

−

6

a

b

Factor using the perfect square trinomial rule

a

2

−

2

a

b

+

b

2

=

(

a

−

b

)

2

, where

a

=

a

and

b

=

−

3

b

.

(

a

−

3

b

)

2