Respuesta :

Answer:

(2x + 7) (2x + 7)

Step-by-step explanation:

4x² + 28x + 49

(2x + 7) (2x + 7) =

4x² + 14x + 14x + 49 = 4x² + 28x + 49

Eduard22sly

When we factorise the expression 4x² + 28x + 49, the result obtained is (2x + 7)(2x + 7)

Data obtained from the question

  • 4x² + 28x + 49
  • Factorisation =?

How to factorise

4x² + 28x + 49

  • Multiply the 1st term (i.e 4x²) and the last term (i.e 49) together.
  • The result is 196x².
  • Find the two factors of 196x² such that the sum of the factors is equal to 28x
  • The factors are 14x and 14x
  • Substitute 14x and 14x in place of 28x in the equation above. We have

4x² + 28x + 49

4x² + 14x + 14x + 49

Factorise

2x(2x + 7) + 7(2x + 7)

(2x + 7)(2x + 7)

Learn more about factorisation:

https://brainly.com/question/22248251

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