Respuesta :

Answer:

Therefore option 2 is correct.

given:

  • 4 huge blue blocks
  • 5 medium red blocks
  • 1 small yellow block, it will be 1

solve:

option 1:

(x + 4)(x + 1)

x² + 4x + x + 4

x² + 5x + 4

option 2:

(4x+1) (x+1)

4x² + 4x + x + 1

4x² + 5x + 1

option 3:

4x + 5

option 4:

( 4x² + x ) (x + 1)

4x³ + 4x² + x² + x

4x³ + 5x² + x

Answer:

(4x + 1)(x + 1)

Step-by-step explanation:

The blue squares mean [tex]x^2[/tex]

The red rectangles mean [tex]x[/tex]

The yellow square means [tex]+1[/tex]

So adding the tiles together we get:  [tex]4x^2+5x+1[/tex]

Reading along the bottom = 4x + 1

Reading down the right side = x + 1

If we multiply these:

[tex](4x + 1)(x + 1)=4x^2+4x+x+1=4x^2+5x+1[/tex]

which is the same as above, so correct!

RELAXING NOICE
Relax