Question

16x^2+72x+81
Please solve fast

Answer 1

hlo

16x² + 72x + 81

( 4x ) ² + 2 × 4x × 9 + ( 9 ) ²

a² + 2ab + b² = ( a + b ) ²

( 4x + 9 )²✔✔✔


hope it helps...

Answer 2

Answer:

Step-by-step explanation:

Rewrite

16

x

2

16x2 as

(

4

x

)

2

(4x)2.

(

4

x

)

2

−

72

x

+

81

(4x)2-72x+81

Rewrite

81

81 as

9

2

92.

(

4

x

)

2

−

72

x

+

9

2

(4x)2-72x+92

Check the middle term by multiplying

2

a

b

2ab and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

(

4

x

)

⋅

−

9

2ab=2⋅(4x)⋅-9

Simplify.

2

a

b

=

−

72

x

2ab=-72x

Factor using the perfect square trinomial rule

a

2

−

2

a

b

+

b

2

=

(

a

−

b

)

2

a2-2ab+b2=(a-b)2, where

a

=

4

x

a=4x and

b

=

−

9

b=-9.

(

4

x

−

9

)

2

(4x-9)2

1

6

x

2

−

7

2

x

+

8

1

|

|

16x2-72x+81||

x

x

x

2

x2

x

3

x3

()