Math, asked by ojash40, 1 year ago

4x^2-28x+49 write in product form

Answers

Answered by mersalkeerthi46
1

Answer:


Step-by-step explanation:

Yes it is.

4

x

2

+

28

x

+

49

=

(

2

x

+

7

)

2

Explanation:

All perfect square trinomials are of the form:

a

2

±

2

a

b

+

b

2

=

(

a

±

b

)

2

In this case  

a

=

2

x

and  

b

=

7

...

4

x

2

+

28

x

+

49

=

(

2

x

)

2

+

(

2

(

2

x

)

7

)

+

7

2

=

(

2

x

+

7

)

2

Related questions


Answered by waqarsd
4

4 {x}^{2}  - 28x + 49 \\  = 4 {x}^{2} - 14x - 14x + 49 \\  = 2x(2x - 7) - 7(2x - 7) \\  = (2x - 7)(2x - 7) \\  =  {(2x - 7)}^{2}
hope it helps
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