Question

Express 9x^2 + 24xy + 16y^2 as the product of two same expressions​

Answer 1

Answer:

Note that:

9

x

2

=

(

3

x

)

2

24

x

y

=

2

(

3

x

)

(

4

y

)

16

y

2

=

(

4

y

)

2

So:

9

x

2

+

24

x

y

+

16

y

2

=

(

3

x

)

2

+

2

(

3

x

)

(

4

y

)

+

(

4

y

)

2

is in the form:

A

2

+

2

A

B

+

B

2

=

(

A

+

B

)

2

So putting

A

=

3

x

and

B

=

4

y

we have:

9

x

2

+

24

x

y

+

16

y

2

=

(

3

x

+

4

y

)

2