Simplify (1+1/y)-(1-1/y)^2

Math
(1+1y)-(1-1y)2
Simplify each term.
Tap for more steps…
Rewrite (1-1y)2 as (1-1y)(1-1y).
1+1y-((1-1y)(1-1y))
Expand (1-1y)(1-1y) using the FOIL Method.
Tap for more steps…
Apply the distributive property.
1+1y-(1(1-1y)-1y(1-1y))
Apply the distributive property.
1+1y-(1⋅1+1(-1y)-1y(1-1y))
Apply the distributive property.
1+1y-(1⋅1+1(-1y)-1y⋅1-1y(-1y))
1+1y-(1⋅1+1(-1y)-1y⋅1-1y(-1y))
Simplify and combine like terms.
Tap for more steps…
Simplify each term.
Tap for more steps…
Multiply 1 by 1.
1+1y-(1+1(-1y)-1y⋅1-1y(-1y))
Multiply -1y by 1.
1+1y-(1-1y-1y⋅1-1y(-1y))
Multiply -1 by 1.
1+1y-(1-1y-1y-1y(-1y))
Multiply -1y(-1y).
Tap for more steps…
Multiply -1 by -1.
1+1y-(1-1y-1y+11y1y)
Multiply 1y by 1.
1+1y-(1-1y-1y+1y⋅1y)
Multiply 1y and 1y.
1+1y-(1-1y-1y+1y⋅y)
Raise y to the power of 1.
1+1y-(1-1y-1y+1y1y)
Raise y to the power of 1.
1+1y-(1-1y-1y+1y1y1)
Use the power rule aman=am+n to combine exponents.
1+1y-(1-1y-1y+1y1+1)
Add 1 and 1.
1+1y-(1-1y-1y+1y2)
1+1y-(1-1y-1y+1y2)
1+1y-(1-1y-1y+1y2)
Subtract 1y from -1y.
1+1y-(1-21y+1y2)
1+1y-(1-21y+1y2)
Simplify each term.
Tap for more steps…
Combine -2 and 1y.
1+1y-(1+-2y+1y2)
Move the negative in front of the fraction.
1+1y-(1-2y+1y2)
1+1y-(1-2y+1y2)
Apply the distributive property.
1+1y-1⋅1–2y-1y2
Simplify.
Tap for more steps…
Multiply -1 by 1.
1+1y-1–2y-1y2
Multiply –2y.
Tap for more steps…
Multiply -1 by -1.
1+1y-1+12y-1y2
Multiply 2y by 1.
1+1y-1+2y-1y2
1+1y-1+2y-1y2
1+1y-1+2y-1y2
1+1y-1+2y-1y2
Simplify terms.
Tap for more steps…
Combine the opposite terms in 1+1y-1+2y-1y2.
Tap for more steps…
Subtract 1 from 1.
1y+0+2y-1y2
Add 1y and 0.
1y+2y-1y2
1y+2y-1y2
Combine fractions with similar denominators.
1+2y+-1y2
Simplify the expression.
Tap for more steps…
Add 1 and 2.
3y+-1y2
Move the negative in front of the fraction.
3y-1y2
3y-1y2
3y-1y2
Simplify (1+1/y)-(1-1/y)^2

Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top