Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
xyz+xy+xz+x+yz+y+z+1
Evaluate
(x+1)(y+1)(z+1)
Multiply the terms
More Steps
Evaluate
(x+1)(y+1)
Apply the distributive property
xy+x×1+1×y+1×1
Any expression multiplied by 1 remains the same
xy+x+1×y+1×1
Any expression multiplied by 1 remains the same
xy+x+y+1×1
Any expression multiplied by 1 remains the same
xy+x+y+1
(xy+x+y+1)(z+1)
Apply the distributive property
xyz+xy×1+xz+x×1+yz+y×1+1×z+1×1
Any expression multiplied by 1 remains the same
xyz+xy+xz+x×1+yz+y×1+1×z+1×1
Any expression multiplied by 1 remains the same
xyz+xy+xz+x+yz+y×1+1×z+1×1
Any expression multiplied by 1 remains the same
xyz+xy+xz+x+yz+y+1×z+1×1
Any expression multiplied by 1 remains the same
xyz+xy+xz+x+yz+y+z+1×1
Solution
xyz+xy+xz+x+yz+y+z+1
Show Solution
