Respuesta :

[tex]\bold{Answer}[/tex]

[tex]\boxed{\bold{-20x^6+12x^4-4x^3+8x^2}}[/tex]

[tex]\bold{Explanation}[/tex]

  • [tex]\bold{Simplify: \ -4x^2\left(5x^4-3x^2+x-2\right)}[/tex]

[tex]\bold{------------------}[/tex]

  • [tex]\bold{Distribute \ Parenthesis}[/tex]

[tex]\bold{\left(-4x^2\right)\cdot \:5x^4+\left(-4x^2\right)\left(-3x^2\right)+\left(-4x^2\right)x+\left(-4x^2\right)\left(-2\right)}[/tex]

  • [tex]\bold{Apply \ Addition \ / \ Subtraction \ Rules: \ +\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab}[/tex]

[tex]\bold{-4\cdot \:5x^4x^2+4\cdot \:3x^2x^2-4x^2x+4\cdot \:2x^2}[/tex]

  • [tex]\bold{Simplify \ -4\cdot \:5x^4x^2+4\cdot \:3x^2x^2-4x^2x+4\cdot \:2x^2: \ -20x^6+12x^4-4x^3+8x^2}[/tex]

[tex]\bold{-20x^6+12x^4-4x^3+8x^2}[/tex]

[tex]\boxed{\bold{Eclipsed}}[/tex]

Otras preguntas