Respuesta :
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{(x + 1)(x + 6)}}[/tex]
[tex]\huge\boxed{\mathsf{\rightarrow x(x) + 6(x) + 1(x) + 1(6)}}[/tex]
[tex]\huge\boxed{\mathsf{\rightarrow x^2 + 6x + 1x + 6}}[/tex]
[tex]\huge\boxed{\boxed{\frak{\bold{COMBINE} \ the \ \bf LIKE \ TERMS }}}[/tex]
[tex]\huge\boxed{\mathsf{\rightarrow x^2 + (6x + 1x) + 6}}[/tex]
[tex]\huge\boxed{\mathsf{\rightarrow x^2 + 7x + 6}}[/tex]
[tex]\huge\boxed{\text{Therefore, your answer is: \boxed{\rm {x^2 + 7x + 6}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
[tex] = {x}^{2} + 7x + 6[/tex]
Step-by-step explanation:
[tex](x + 1)(x + 6)[/tex]
[tex]x \times (x + 6) + 1(x + 6)[/tex]
[tex] {x}^{2} + 6x + 1(x + 6)[/tex]
[tex] {x}^{2} + 6x + x + 6[/tex]
[tex] \boxed{\green{= {x}^{2} + 7x + 6}}[/tex]