Respuesta :

Answer:

[tex]\boxed{\bold{\left(2x+5\right)\left(x+5\right)}}[/tex]

Step-by-step explanation:

Break Expression Into Groups

[tex]\bold{\left(2x^2+5x\right)+\left(10x+25\right)}[/tex]

Factor Out [tex]\bold{x}[/tex] From [tex]\bold{2x^2+5x}[/tex]

[tex]\bold{x\left(2x+5\right)}[/tex]

Factor Out [tex]\bold{5}[/tex] From [tex]\bold{10x+25}[/tex]

[tex]\bold{5\left(2x+5\right)}[/tex]

Rewrite Equation

[tex]\bold{x\left(2x+5\right)+5\left(2x+5\right)}[/tex]

Factor Out Common Term [tex]\bold{2x+5}[/tex]

[tex]\bold{\left(2x+5\right)\left(x+5\right)}[/tex]

Answer:

  • (2x+5)(x+5)

Step-by-step explanation:

[tex]\sf 2x^2+15x+25[/tex]

[tex]\sf \left(2x^2+5x\right)+\left(10x+25\right)[/tex]

[tex]\sf 2x^2+5x=x\left(2x+5\right)[/tex]

[tex]\sf \left(10x+25\right)=5\left(2x+5\right)[/tex]

[tex]\sf x\left(2x+5\right)+5\left(2x+5\right)[/tex]

[tex]\sf \left(2x+5\right)\left(x+5\right)[/tex]

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