1. x² - 121

2. x² + 8x + 16

3. 27x³ + 1

please answer and thank you...​


Sagot :

Answer:

  1. [tex](x-11)(x+11)[/tex]
  2. [tex](x+4)^{2}[/tex]
  3. [tex](3x+1)(9x^{2} -3x+1)[/tex]

Step-by-step explanation:

  1. [tex]x^{2} -121[/tex]

[tex]x^{2} +11x-121[/tex]

[tex]x(x+11)-11(x+11)[/tex]

[tex](x-11)(x+11)[/tex]

2. [tex]x^{2} +8x+16[/tex]

[tex]x^{2} +4x+4x+16[/tex]

[tex]x(x+4)+4( x+4)[/tex]

[tex](x+4)(x+4)[/tex]

[tex](x+4)^{2}[/tex]

3. [tex]27x^{3} +1[/tex]

[tex]27x^3} -9x^{2} +3x+9x^{2}- 3x+1[/tex]

[tex]3(9x^{3} -3x^{2} +x)+9x^{2} -3x+1[/tex]

[tex]3(9x^{3} -3x^{2} +x)+1(9x^{2} -3x+1)[/tex]

[tex]3x(9x^{2} -3x+1) +1(9x^{2} -3x+1)[/tex]

[tex](3x+1)(9x^{2} -3x+1)[/tex]