Respuesta :

Answer:

[tex]\boxed{\bold{30x^2+53x+8}}[/tex]

Equation:

[tex]\bold{(6x+1)(5x+8)}[/tex]

Step By Step Explanation:

[ Apply FOIL Method: [tex]\bold{\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd}[/tex] ]

[tex]\bold{a=6x,\:b=1,\:c=5x,\:d=8}[/tex]

[tex]\bold{6x\cdot \:5x+6x\cdot \:8+1\cdot \:5x+1\cdot \:8}[/tex]

[tex]\bold{6\cdot \:5xx+6\cdot \:8x+1\cdot \:5x+1\cdot \:8}[/tex]

[ Simplify [tex]\bold{6\cdot \:5xx+6\cdot \:8x+1\cdot \:5x+1\cdot \:8}[/tex] ]

[tex]\bold{30x^2+53x+8}[/tex]

[tex]\text{Hey there!}\\\\ \bold{(6x+1)(5x+8)}\\\bold{Distribute\ is\ the\ first\ step\ to\ solve\ this!}[/tex]

[tex]\bullet \ \bold{6x(5x)=30x^2} \\ \bullet \ \bold{6x(8)=48} \\ \bullet \ \bold{1(5x)=5x} \\ \bullet \ \bold{1(8x)=8} \\ \bold{Next\ combine\ like\ your\ like\ terms} \\ \\ \bullet \ \bold{48x+5x=53x} \\ \boxed{\boxed{\bold{Answer:30x^2+53x+8}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment \& enjoy your day!} \\ \\ \frak{LoveYourselfFirst:)}[/tex]