# Simplify (x+1/6)(x-5/6)

(x+16)(x-56)
Expand (x+16)(x-56) using the FOIL Method.
Apply the distributive property.
x(x-56)+16(x-56)
Apply the distributive property.
x⋅x+x(-56)+16(x-56)
Apply the distributive property.
x⋅x+x(-56)+16x+16(-56)
x⋅x+x(-56)+16x+16(-56)
Simplify and combine like terms.
Simplify each term.
Multiply x by x.
x2+x(-56)+16x+16(-56)
Combine x and 56.
x2-x⋅56+16x+16(-56)
Move 5 to the left of x.
x2-5⋅x6+16x+16(-56)
Combine 16 and x.
x2-5×6+x6+16(-56)
Multiply 16(-56).
Multiply 16 and 56.
x2-5×6+x6-56⋅6
Multiply 6 by 6.
x2-5×6+x6-536
x2-5×6+x6-536
x2-5×6+x6-536
Combine the numerators over the common denominator.
x2+-5x+x6-536
x2+-5x+x6-536
x2+-4×6-536
Simplify each term.
Cancel the common factor of -4 and 6.
Factor 2 out of -4x.
x2+2(-2x)6-536
Cancel the common factors.
Factor 2 out of 6.
x2+2(-2x)2(3)-536
Cancel the common factor.
x2+2(-2x)2⋅3-536
Rewrite the expression.
x2+-2×3-536
x2+-2×3-536
x2+-2×3-536
Move the negative in front of the fraction.
x2-2×3-536
x2-2×3-536
Simplify (x+1/6)(x-5/6)