Simplify 1/(n^2)+1/((n+1)^2)+1

Math
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps…
Multiply and .
Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Rewrite as .
Expand using the FOIL Method.
Tap for more steps…
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Tap for more steps…
Simplify each term.
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Add and .
Add and .
Combine into one fraction.
Tap for more steps…
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Rewrite as .
Expand using the FOIL Method.
Tap for more steps…
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Tap for more steps…
Simplify each term.
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Add and .
Apply the distributive property.
Simplify.
Tap for more steps…
Multiply by by adding the exponents.
Tap for more steps…
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by .
Multiply by by adding the exponents.
Tap for more steps…
Move .
Multiply by .
Tap for more steps…
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Add and .
Reorder terms.
Simplify 1/(n^2)+1/((n+1)^2)+1
Scroll to top